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Finding the Fourth Proportional to 127.51, 176.02 and 75.04

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Solution

The fourth proportional to 127.51, 176.02 and 75.04 is: 103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.51 : 176.02 = 75.04 : x
  2. Step 2: Convert to fraction form
    127.51/176.02 = 75.04/x
  3. Step 3: Cross multiply
    127.51x = 176.02 × 75.04
  4. Step 4: Simplify right side
    127.51x = 13,208.21
  5. Step 5: Solve for x
    x = 13,208.21/127.51
  6. Step 6: Final answer
    x = 103.59

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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.