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Finding the Fourth Proportional to 61.53, 92.12 and 56.74

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Solution

The fourth proportional to 61.53, 92.12 and 56.74 is: 84.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.53 : 92.12 = 56.74 : x
  2. Step 2: Convert to fraction form
    61.53/92.12 = 56.74/x
  3. Step 3: Cross multiply
    61.53x = 92.12 × 56.74
  4. Step 4: Simplify right side
    61.53x = 5,226.98
  5. Step 5: Solve for x
    x = 5,226.98/61.53
  6. Step 6: Final answer
    x = 84.95

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Why These Related Problems?

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