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Finding the Fourth Proportional to 106.80, 147.23 and 91.19

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Solution

The fourth proportional to 106.80, 147.23 and 91.19 is: 125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.80 : 147.23 = 91.19 : x
  2. Step 2: Convert to fraction form
    106.80/147.23 = 91.19/x
  3. Step 3: Cross multiply
    106.80x = 147.23 × 91.19
  4. Step 4: Simplify right side
    106.80x = 13,425.76
  5. Step 5: Solve for x
    x = 13,425.76/106.80
  6. Step 6: Final answer
    x = 125.72

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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.