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Finding the Fourth Proportional to 106.04, 158.48 and 91.59

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Solution

The fourth proportional to 106.04, 158.48 and 91.59 is: 136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.04 : 158.48 = 91.59 : x
  2. Step 2: Convert to fraction form
    106.04/158.48 = 91.59/x
  3. Step 3: Cross multiply
    106.04x = 158.48 × 91.59
  4. Step 4: Simplify right side
    106.04x = 14,514.73
  5. Step 5: Solve for x
    x = 14,514.73/106.04
  6. Step 6: Final answer
    x = 136.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.