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Finding the Fourth Proportional to 106.48, 159.24 and 75.80

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Solution

The fourth proportional to 106.48, 159.24 and 75.80 is: 113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.48 : 159.24 = 75.80 : x
  2. Step 2: Convert to fraction form
    106.48/159.24 = 75.80/x
  3. Step 3: Cross multiply
    106.48x = 159.24 × 75.80
  4. Step 4: Simplify right side
    106.48x = 12,070.39
  5. Step 5: Solve for x
    x = 12,070.39/106.48
  6. Step 6: Final answer
    x = 113.36

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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.