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Finding the Fourth Proportional to 42.53, 59.10 and 42.11

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Solution

The fourth proportional to 42.53, 59.10 and 42.11 is: 58.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.53 : 59.10 = 42.11 : x
  2. Step 2: Convert to fraction form
    42.53/59.10 = 42.11/x
  3. Step 3: Cross multiply
    42.53x = 59.10 × 42.11
  4. Step 4: Simplify right side
    42.53x = 2,488.70
  5. Step 5: Solve for x
    x = 2,488.70/42.53
  6. Step 6: Final answer
    x = 58.52

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