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Finding the Fourth Proportional to 100.91, 151.17 and 52.08

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Solution

The fourth proportional to 100.91, 151.17 and 52.08 is: 78.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.91 : 151.17 = 52.08 : x
  2. Step 2: Convert to fraction form
    100.91/151.17 = 52.08/x
  3. Step 3: Cross multiply
    100.91x = 151.17 × 52.08
  4. Step 4: Simplify right side
    100.91x = 7,872.17
  5. Step 5: Solve for x
    x = 7,872.17/100.91
  6. Step 6: Final answer
    x = 78.01

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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.