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Finding the Fourth Proportional to 111.48, 153.69 and 74.58

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Solution

The fourth proportional to 111.48, 153.69 and 74.58 is: 102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.48 : 153.69 = 74.58 : x
  2. Step 2: Convert to fraction form
    111.48/153.69 = 74.58/x
  3. Step 3: Cross multiply
    111.48x = 153.69 × 74.58
  4. Step 4: Simplify right side
    111.48x = 11,462.20
  5. Step 5: Solve for x
    x = 11,462.20/111.48
  6. Step 6: Final answer
    x = 102.82

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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.