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Finding the Fourth Proportional to 99.81, 137.70 and 70.71

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Solution

The fourth proportional to 99.81, 137.70 and 70.71 is: 97.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.81 : 137.70 = 70.71 : x
  2. Step 2: Convert to fraction form
    99.81/137.70 = 70.71/x
  3. Step 3: Cross multiply
    99.81x = 137.70 × 70.71
  4. Step 4: Simplify right side
    99.81x = 9,736.77
  5. Step 5: Solve for x
    x = 9,736.77/99.81
  6. Step 6: Final answer
    x = 97.55

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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.