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Finding the Fourth Proportional to 99.24, 137.04 and 76.16

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Solution

The fourth proportional to 99.24, 137.04 and 76.16 is: 105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.24 : 137.04 = 76.16 : x
  2. Step 2: Convert to fraction form
    99.24/137.04 = 76.16/x
  3. Step 3: Cross multiply
    99.24x = 137.04 × 76.16
  4. Step 4: Simplify right side
    99.24x = 10,436.28
  5. Step 5: Solve for x
    x = 10,436.28/99.24
  6. Step 6: Final answer
    x = 105.16

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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.