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Finding the Fourth Proportional to 55.14, 76.12 and 42.90

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Solution

The fourth proportional to 55.14, 76.12 and 42.90 is: 59.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.14 : 76.12 = 42.90 : x
  2. Step 2: Convert to fraction form
    55.14/76.12 = 42.90/x
  3. Step 3: Cross multiply
    55.14x = 76.12 × 42.90
  4. Step 4: Simplify right side
    55.14x = 3,265.55
  5. Step 5: Solve for x
    x = 3,265.55/55.14
  6. Step 6: Final answer
    x = 59.22

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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.