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Finding the Fourth Proportional to 127.18, 176.23 and 119.08

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Solution

The fourth proportional to 127.18, 176.23 and 119.08 is: 165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.18 : 176.23 = 119.08 : x
  2. Step 2: Convert to fraction form
    127.18/176.23 = 119.08/x
  3. Step 3: Cross multiply
    127.18x = 176.23 × 119.08
  4. Step 4: Simplify right side
    127.18x = 20,985.47
  5. Step 5: Solve for x
    x = 20,985.47/127.18
  6. Step 6: Final answer
    x = 165.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.