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Finding the Fourth Proportional to 101.91, 152.48 and 83.53

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Solution

The fourth proportional to 101.91, 152.48 and 83.53 is: 124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.91 : 152.48 = 83.53 : x
  2. Step 2: Convert to fraction form
    101.91/152.48 = 83.53/x
  3. Step 3: Cross multiply
    101.91x = 152.48 × 83.53
  4. Step 4: Simplify right side
    101.91x = 12,737.05
  5. Step 5: Solve for x
    x = 12,737.05/101.91
  6. Step 6: Final answer
    x = 124.99

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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.