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Finding the Fourth Proportional to 51.14, 70.54 and 42.71

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Solution

The fourth proportional to 51.14, 70.54 and 42.71 is: 58.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.14 : 70.54 = 42.71 : x
  2. Step 2: Convert to fraction form
    51.14/70.54 = 42.71/x
  3. Step 3: Cross multiply
    51.14x = 70.54 × 42.71
  4. Step 4: Simplify right side
    51.14x = 3,012.42
  5. Step 5: Solve for x
    x = 3,012.42/51.14
  6. Step 6: Final answer
    x = 58.91

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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.