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Finding the Fourth Proportional to 109.74, 149.34 and 109.20

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Solution

The fourth proportional to 109.74, 149.34 and 109.20 is: 148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.74 : 149.34 = 109.20 : x
  2. Step 2: Convert to fraction form
    109.74/149.34 = 109.20/x
  3. Step 3: Cross multiply
    109.74x = 149.34 × 109.20
  4. Step 4: Simplify right side
    109.74x = 16,307.93
  5. Step 5: Solve for x
    x = 16,307.93/109.74
  6. Step 6: Final answer
    x = 148.61

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.