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Finding the Fourth Proportional to 60.27, 90.06 and 50.13

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Solution

The fourth proportional to 60.27, 90.06 and 50.13 is: 74.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.27 : 90.06 = 50.13 : x
  2. Step 2: Convert to fraction form
    60.27/90.06 = 50.13/x
  3. Step 3: Cross multiply
    60.27x = 90.06 × 50.13
  4. Step 4: Simplify right side
    60.27x = 4,514.71
  5. Step 5: Solve for x
    x = 4,514.71/60.27
  6. Step 6: Final answer
    x = 74.91

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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.