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Finding the Fourth Proportional to 127.50, 175.47 and 118.10

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Solution

The fourth proportional to 127.50, 175.47 and 118.10 is: 162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.50 : 175.47 = 118.10 : x
  2. Step 2: Convert to fraction form
    127.50/175.47 = 118.10/x
  3. Step 3: Cross multiply
    127.50x = 175.47 × 118.10
  4. Step 4: Simplify right side
    127.50x = 20,722.13
  5. Step 5: Solve for x
    x = 20,722.13/127.50
  6. Step 6: Final answer
    x = 162.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.