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Finding the Fourth Proportional to 111.72, 154.17 and 65.10

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Solution

The fourth proportional to 111.72, 154.17 and 65.10 is: 89.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.72 : 154.17 = 65.10 : x
  2. Step 2: Convert to fraction form
    111.72/154.17 = 65.10/x
  3. Step 3: Cross multiply
    111.72x = 154.17 × 65.10
  4. Step 4: Simplify right side
    111.72x = 10,036.47
  5. Step 5: Solve for x
    x = 10,036.47/111.72
  6. Step 6: Final answer
    x = 89.84

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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.