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Finding the Fourth Proportional to 60.57, 90.80 and 24.00

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Solution

The fourth proportional to 60.57, 90.80 and 24.00 is: 35.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.57 : 90.80 = 24.00 : x
  2. Step 2: Convert to fraction form
    60.57/90.80 = 24.00/x
  3. Step 3: Cross multiply
    60.57x = 90.80 × 24.00
  4. Step 4: Simplify right side
    60.57x = 2,178.76
  5. Step 5: Solve for x
    x = 2,178.76/60.57
  6. Step 6: Final answer
    x = 35.97

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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.