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Finding the Fourth Proportional to 111.46, 153.89 and 72.17

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Solution

The fourth proportional to 111.46, 153.89 and 72.17 is: 99.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.46 : 153.89 = 72.17 : x
  2. Step 2: Convert to fraction form
    111.46/153.89 = 72.17/x
  3. Step 3: Cross multiply
    111.46x = 153.89 × 72.17
  4. Step 4: Simplify right side
    111.46x = 11,106.24
  5. Step 5: Solve for x
    x = 11,106.24/111.46
  6. Step 6: Final answer
    x = 99.64

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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.