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Finding the Fourth Proportional to 111.61, 153.93 and 74.72

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Solution

The fourth proportional to 111.61, 153.93 and 74.72 is: 103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.61 : 153.93 = 74.72 : x
  2. Step 2: Convert to fraction form
    111.61/153.93 = 74.72/x
  3. Step 3: Cross multiply
    111.61x = 153.93 × 74.72
  4. Step 4: Simplify right side
    111.61x = 11,502.03
  5. Step 5: Solve for x
    x = 11,502.03/111.61
  6. Step 6: Final answer
    x = 103.06

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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.