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Finding the Fourth Proportional to 106.90, 159.50 and 99.04

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Solution

The fourth proportional to 106.90, 159.50 and 99.04 is: 147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.90 : 159.50 = 99.04 : x
  2. Step 2: Convert to fraction form
    106.90/159.50 = 99.04/x
  3. Step 3: Cross multiply
    106.90x = 159.50 × 99.04
  4. Step 4: Simplify right side
    106.90x = 15,796.88
  5. Step 5: Solve for x
    x = 15,796.88/106.90
  6. Step 6: Final answer
    x = 147.77

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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.