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Finding the Fourth Proportional to 61.50, 91.75 and 56.32

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Solution

The fourth proportional to 61.50, 91.75 and 56.32 is: 84.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.50 : 91.75 = 56.32 : x
  2. Step 2: Convert to fraction form
    61.50/91.75 = 56.32/x
  3. Step 3: Cross multiply
    61.50x = 91.75 × 56.32
  4. Step 4: Simplify right side
    61.50x = 5,167.36
  5. Step 5: Solve for x
    x = 5,167.36/61.50
  6. Step 6: Final answer
    x = 84.02

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Why These Related Problems?

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