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Finding the Fourth Proportional to 60.24, 90.27 and 55.34

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Solution

The fourth proportional to 60.24, 90.27 and 55.34 is: 82.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.24 : 90.27 = 55.34 : x
  2. Step 2: Convert to fraction form
    60.24/90.27 = 55.34/x
  3. Step 3: Cross multiply
    60.24x = 90.27 × 55.34
  4. Step 4: Simplify right side
    60.24x = 4,995.09
  5. Step 5: Solve for x
    x = 4,995.09/60.24
  6. Step 6: Final answer
    x = 82.92

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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.