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Finding the Fourth Proportional to 134.13, 185.07 and 106.59

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Solution

The fourth proportional to 134.13, 185.07 and 106.59 is: 147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.13 : 185.07 = 106.59 : x
  2. Step 2: Convert to fraction form
    134.13/185.07 = 106.59/x
  3. Step 3: Cross multiply
    134.13x = 185.07 × 106.59
  4. Step 4: Simplify right side
    134.13x = 19,726.61
  5. Step 5: Solve for x
    x = 19,726.61/134.13
  6. Step 6: Final answer
    x = 147.07

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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.