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Finding the Fourth Proportional to 99.65, 137.45 and 76.30

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Solution

The fourth proportional to 99.65, 137.45 and 76.30 is: 105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.65 : 137.45 = 76.30 : x
  2. Step 2: Convert to fraction form
    99.65/137.45 = 76.30/x
  3. Step 3: Cross multiply
    99.65x = 137.45 × 76.30
  4. Step 4: Simplify right side
    99.65x = 10,486.71
  5. Step 5: Solve for x
    x = 10,486.71/99.65
  6. Step 6: Final answer
    x = 105.23

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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.