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Finding the Fourth Proportional to 127.48, 174.60 and 120.10

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Solution

The fourth proportional to 127.48, 174.60 and 120.10 is: 164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.48 : 174.60 = 120.10 : x
  2. Step 2: Convert to fraction form
    127.48/174.60 = 120.10/x
  3. Step 3: Cross multiply
    127.48x = 174.60 × 120.10
  4. Step 4: Simplify right side
    127.48x = 20,969.46
  5. Step 5: Solve for x
    x = 20,969.46/127.48
  6. Step 6: Final answer
    x = 164.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.