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Finding the Fourth Proportional to 109.84, 151.62 and 71

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Solution

The fourth proportional to 109.84, 151.62 and 71 is: 98.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.84 : 151.62 = 71 : x
  2. Step 2: Convert to fraction form
    109.84/151.62 = 71/x
  3. Step 3: Cross multiply
    109.84x = 151.62 × 71
  4. Step 4: Simplify right side
    109.84x = 10,765.02
  5. Step 5: Solve for x
    x = 10,765.02/109.84
  6. Step 6: Final answer
    x = 98.01

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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.