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Finding the Fourth Proportional to 126.10, 188.82 and 101.61

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Solution

The fourth proportional to 126.10, 188.82 and 101.61 is: 152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.10 : 188.82 = 101.61 : x
  2. Step 2: Convert to fraction form
    126.10/188.82 = 101.61/x
  3. Step 3: Cross multiply
    126.10x = 188.82 × 101.61
  4. Step 4: Simplify right side
    126.10x = 19,186.00
  5. Step 5: Solve for x
    x = 19,186.00/126.10
  6. Step 6: Final answer
    x = 152.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.