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Finding the Fourth Proportional to 111.48, 153.64 and 83.76

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Solution

The fourth proportional to 111.48, 153.64 and 83.76 is: 115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.48 : 153.64 = 83.76 : x
  2. Step 2: Convert to fraction form
    111.48/153.64 = 83.76/x
  3. Step 3: Cross multiply
    111.48x = 153.64 × 83.76
  4. Step 4: Simplify right side
    111.48x = 12,868.89
  5. Step 5: Solve for x
    x = 12,868.89/111.48
  6. Step 6: Final answer
    x = 115.44

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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.