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Finding the Fourth Proportional to 56.35, 84.39 and 39.16

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Solution

The fourth proportional to 56.35, 84.39 and 39.16 is: 58.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.35 : 84.39 = 39.16 : x
  2. Step 2: Convert to fraction form
    56.35/84.39 = 39.16/x
  3. Step 3: Cross multiply
    56.35x = 84.39 × 39.16
  4. Step 4: Simplify right side
    56.35x = 3,304.71
  5. Step 5: Solve for x
    x = 3,304.71/56.35
  6. Step 6: Final answer
    x = 58.65

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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.