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Finding the Fourth Proportional to 42.23, 62.95 and 42.17

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Solution

The fourth proportional to 42.23, 62.95 and 42.17 is: 62.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.23 : 62.95 = 42.17 : x
  2. Step 2: Convert to fraction form
    42.23/62.95 = 42.17/x
  3. Step 3: Cross multiply
    42.23x = 62.95 × 42.17
  4. Step 4: Simplify right side
    42.23x = 2,654.18
  5. Step 5: Solve for x
    x = 2,654.18/42.23
  6. Step 6: Final answer
    x = 62.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.