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Finding the Fourth Proportional to 127.85, 191.70 and 106.13

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Solution

The fourth proportional to 127.85, 191.70 and 106.13 is: 159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.85 : 191.70 = 106.13 : x
  2. Step 2: Convert to fraction form
    127.85/191.70 = 106.13/x
  3. Step 3: Cross multiply
    127.85x = 191.70 × 106.13
  4. Step 4: Simplify right side
    127.85x = 20,345.60
  5. Step 5: Solve for x
    x = 20,345.60/127.85
  6. Step 6: Final answer
    x = 159.14

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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.