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Finding the Fourth Proportional to 99.76, 137.71 and 70.72

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Solution

The fourth proportional to 99.76, 137.71 and 70.72 is: 97.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.76 : 137.71 = 70.72 : x
  2. Step 2: Convert to fraction form
    99.76/137.71 = 70.72/x
  3. Step 3: Cross multiply
    99.76x = 137.71 × 70.72
  4. Step 4: Simplify right side
    99.76x = 9,738.85
  5. Step 5: Solve for x
    x = 9,738.85/99.76
  6. Step 6: Final answer
    x = 97.62

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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.