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Finding the Fourth Proportional to 99.30, 148.77 and 83.16

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Solution

The fourth proportional to 99.30, 148.77 and 83.16 is: 124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.30 : 148.77 = 83.16 : x
  2. Step 2: Convert to fraction form
    99.30/148.77 = 83.16/x
  3. Step 3: Cross multiply
    99.30x = 148.77 × 83.16
  4. Step 4: Simplify right side
    99.30x = 12,371.71
  5. Step 5: Solve for x
    x = 12,371.71/99.30
  6. Step 6: Final answer
    x = 124.59

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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.