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Finding the Fourth Proportional to 99.19, 147.98 and 85.69

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Solution

The fourth proportional to 99.19, 147.98 and 85.69 is: 127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.19 : 147.98 = 85.69 : x
  2. Step 2: Convert to fraction form
    99.19/147.98 = 85.69/x
  3. Step 3: Cross multiply
    99.19x = 147.98 × 85.69
  4. Step 4: Simplify right side
    99.19x = 12,680.41
  5. Step 5: Solve for x
    x = 12,680.41/99.19
  6. Step 6: Final answer
    x = 127.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.