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Finding the Fourth Proportional to 98.71, 147.91 and 47.35

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Solution

The fourth proportional to 98.71, 147.91 and 47.35 is: 70.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.71 : 147.91 = 47.35 : x
  2. Step 2: Convert to fraction form
    98.71/147.91 = 47.35/x
  3. Step 3: Cross multiply
    98.71x = 147.91 × 47.35
  4. Step 4: Simplify right side
    98.71x = 7,003.54
  5. Step 5: Solve for x
    x = 7,003.54/98.71
  6. Step 6: Final answer
    x = 70.95

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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.