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Finding the Fourth Proportional to 111.02, 153.19 and 61.89

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Solution

The fourth proportional to 111.02, 153.19 and 61.89 is: 85.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.02 : 153.19 = 61.89 : x
  2. Step 2: Convert to fraction form
    111.02/153.19 = 61.89/x
  3. Step 3: Cross multiply
    111.02x = 153.19 × 61.89
  4. Step 4: Simplify right side
    111.02x = 9,480.43
  5. Step 5: Solve for x
    x = 9,480.43/111.02
  6. Step 6: Final answer
    x = 85.40

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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.