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Finding the Fourth Proportional to 111.53, 153.91 and 70.09

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Solution

The fourth proportional to 111.53, 153.91 and 70.09 is: 96.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.53 : 153.91 = 70.09 : x
  2. Step 2: Convert to fraction form
    111.53/153.91 = 70.09/x
  3. Step 3: Cross multiply
    111.53x = 153.91 × 70.09
  4. Step 4: Simplify right side
    111.53x = 10,787.20
  5. Step 5: Solve for x
    x = 10,787.20/111.53
  6. Step 6: Final answer
    x = 96.72

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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.