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Finding the Fourth Proportional to 60.75, 91.16 and 32.25

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Solution

The fourth proportional to 60.75, 91.16 and 32.25 is: 48.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.75 : 91.16 = 32.25 : x
  2. Step 2: Convert to fraction form
    60.75/91.16 = 32.25/x
  3. Step 3: Cross multiply
    60.75x = 91.16 × 32.25
  4. Step 4: Simplify right side
    60.75x = 2,939.91
  5. Step 5: Solve for x
    x = 2,939.91/60.75
  6. Step 6: Final answer
    x = 48.39

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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.