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Finding the Fourth Proportional to 106.47, 159.60 and 45.61

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Solution

The fourth proportional to 106.47, 159.60 and 45.61 is: 68.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.47 : 159.60 = 45.61 : x
  2. Step 2: Convert to fraction form
    106.47/159.60 = 45.61/x
  3. Step 3: Cross multiply
    106.47x = 159.60 × 45.61
  4. Step 4: Simplify right side
    106.47x = 7,279.36
  5. Step 5: Solve for x
    x = 7,279.36/106.47
  6. Step 6: Final answer
    x = 68.37

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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.