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Finding the Fourth Proportional to 111.08, 152.93 and 96.53

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Solution

The fourth proportional to 111.08, 152.93 and 96.53 is: 132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.08 : 152.93 = 96.53 : x
  2. Step 2: Convert to fraction form
    111.08/152.93 = 96.53/x
  3. Step 3: Cross multiply
    111.08x = 152.93 × 96.53
  4. Step 4: Simplify right side
    111.08x = 14,761.09
  5. Step 5: Solve for x
    x = 14,761.09/111.08
  6. Step 6: Final answer
    x = 132.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.