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Finding the Fourth Proportional to 106.48, 159.76 and 82.38

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Solution

The fourth proportional to 106.48, 159.76 and 82.38 is: 123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.48 : 159.76 = 82.38 : x
  2. Step 2: Convert to fraction form
    106.48/159.76 = 82.38/x
  3. Step 3: Cross multiply
    106.48x = 159.76 × 82.38
  4. Step 4: Simplify right side
    106.48x = 13,160.82
  5. Step 5: Solve for x
    x = 13,160.82/106.48
  6. Step 6: Final answer
    x = 123.60

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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.