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Finding the Fourth Proportional to 111.59, 154.02 and 64.97

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Solution

The fourth proportional to 111.59, 154.02 and 64.97 is: 89.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.59 : 154.02 = 64.97 : x
  2. Step 2: Convert to fraction form
    111.59/154.02 = 64.97/x
  3. Step 3: Cross multiply
    111.59x = 154.02 × 64.97
  4. Step 4: Simplify right side
    111.59x = 10,007.31
  5. Step 5: Solve for x
    x = 10,007.31/111.59
  6. Step 6: Final answer
    x = 89.68

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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.