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Finding the Fourth Proportional to 99.66, 137.71 and 95.88

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Solution

The fourth proportional to 99.66, 137.71 and 95.88 is: 132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.66 : 137.71 = 95.88 : x
  2. Step 2: Convert to fraction form
    99.66/137.71 = 95.88/x
  3. Step 3: Cross multiply
    99.66x = 137.71 × 95.88
  4. Step 4: Simplify right side
    99.66x = 13,203.63
  5. Step 5: Solve for x
    x = 13,203.63/99.66
  6. Step 6: Final answer
    x = 132.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.