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Finding the Fourth Proportional to 60.89, 91.23 and 32.00

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Solution

The fourth proportional to 60.89, 91.23 and 32.00 is: 47.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.89 : 91.23 = 32.00 : x
  2. Step 2: Convert to fraction form
    60.89/91.23 = 32.00/x
  3. Step 3: Cross multiply
    60.89x = 91.23 × 32.00
  4. Step 4: Simplify right side
    60.89x = 2,918.90
  5. Step 5: Solve for x
    x = 2,918.90/60.89
  6. Step 6: Final answer
    x = 47.94

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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.