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Finding the Fourth Proportional to 106.90, 159.95 and 63.59

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Solution

The fourth proportional to 106.90, 159.95 and 63.59 is: 95.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.90 : 159.95 = 63.59 : x
  2. Step 2: Convert to fraction form
    106.90/159.95 = 63.59/x
  3. Step 3: Cross multiply
    106.90x = 159.95 × 63.59
  4. Step 4: Simplify right side
    106.90x = 10,170.90
  5. Step 5: Solve for x
    x = 10,170.90/106.90
  6. Step 6: Final answer
    x = 95.14

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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.