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Finding the Fourth Proportional to 106.71, 147.15 and 69.84

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Solution

The fourth proportional to 106.71, 147.15 and 69.84 is: 96.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.71 : 147.15 = 69.84 : x
  2. Step 2: Convert to fraction form
    106.71/147.15 = 69.84/x
  3. Step 3: Cross multiply
    106.71x = 147.15 × 69.84
  4. Step 4: Simplify right side
    106.71x = 10,276.96
  5. Step 5: Solve for x
    x = 10,276.96/106.71
  6. Step 6: Final answer
    x = 96.31

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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.