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Finding the Fourth Proportional to 99.35, 137.50 and 97.65

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Solution

The fourth proportional to 99.35, 137.50 and 97.65 is: 135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.35 : 137.50 = 97.65 : x
  2. Step 2: Convert to fraction form
    99.35/137.50 = 97.65/x
  3. Step 3: Cross multiply
    99.35x = 137.50 × 97.65
  4. Step 4: Simplify right side
    99.35x = 13,426.25
  5. Step 5: Solve for x
    x = 13,426.25/99.35
  6. Step 6: Final answer
    x = 135.13

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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.