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Finding the Fourth Proportional to 99.29, 137.07 and 78.24

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Solution

The fourth proportional to 99.29, 137.07 and 78.24 is: 108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.29 : 137.07 = 78.24 : x
  2. Step 2: Convert to fraction form
    99.29/137.07 = 78.24/x
  3. Step 3: Cross multiply
    99.29x = 137.07 × 78.24
  4. Step 4: Simplify right side
    99.29x = 10,724.36
  5. Step 5: Solve for x
    x = 10,724.36/99.29
  6. Step 6: Final answer
    x = 108.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.