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Finding the Fourth Proportional to 111.05, 153.24 and 64.42

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Solution

The fourth proportional to 111.05, 153.24 and 64.42 is: 88.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.05 : 153.24 = 64.42 : x
  2. Step 2: Convert to fraction form
    111.05/153.24 = 64.42/x
  3. Step 3: Cross multiply
    111.05x = 153.24 × 64.42
  4. Step 4: Simplify right side
    111.05x = 9,871.72
  5. Step 5: Solve for x
    x = 9,871.72/111.05
  6. Step 6: Final answer
    x = 88.89

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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.