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Finding the Fourth Proportional to 56.60, 84.95 and 42.17

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Solution

The fourth proportional to 56.60, 84.95 and 42.17 is: 63.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.60 : 84.95 = 42.17 : x
  2. Step 2: Convert to fraction form
    56.60/84.95 = 42.17/x
  3. Step 3: Cross multiply
    56.60x = 84.95 × 42.17
  4. Step 4: Simplify right side
    56.60x = 3,582.34
  5. Step 5: Solve for x
    x = 3,582.34/56.60
  6. Step 6: Final answer
    x = 63.29

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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.