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Finding the Fourth Proportional to 97.47, 134.49 and 79.11

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Solution

The fourth proportional to 97.47, 134.49 and 79.11 is: 109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.47 : 134.49 = 79.11 : x
  2. Step 2: Convert to fraction form
    97.47/134.49 = 79.11/x
  3. Step 3: Cross multiply
    97.47x = 134.49 × 79.11
  4. Step 4: Simplify right side
    97.47x = 10,639.50
  5. Step 5: Solve for x
    x = 10,639.50/97.47
  6. Step 6: Final answer
    x = 109.16

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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.