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Finding the Fourth Proportional to 99.29, 148.94 and 97.57

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Solution

The fourth proportional to 99.29, 148.94 and 97.57 is: 146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.29 : 148.94 = 97.57 : x
  2. Step 2: Convert to fraction form
    99.29/148.94 = 97.57/x
  3. Step 3: Cross multiply
    99.29x = 148.94 × 97.57
  4. Step 4: Simplify right side
    99.29x = 14,532.14
  5. Step 5: Solve for x
    x = 14,532.14/99.29
  6. Step 6: Final answer
    x = 146.36

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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.