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Finding the Fourth Proportional to 42.74, 64.12 and 42.15

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Solution

The fourth proportional to 42.74, 64.12 and 42.15 is: 63.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.74 : 64.12 = 42.15 : x
  2. Step 2: Convert to fraction form
    42.74/64.12 = 42.15/x
  3. Step 3: Cross multiply
    42.74x = 64.12 × 42.15
  4. Step 4: Simplify right side
    42.74x = 2,702.51
  5. Step 5: Solve for x
    x = 2,702.51/42.74
  6. Step 6: Final answer
    x = 63.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.