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Finding the Fourth Proportional to 111.22, 153.46 and 64.57

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Solution

The fourth proportional to 111.22, 153.46 and 64.57 is: 89.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.22 : 153.46 = 64.57 : x
  2. Step 2: Convert to fraction form
    111.22/153.46 = 64.57/x
  3. Step 3: Cross multiply
    111.22x = 153.46 × 64.57
  4. Step 4: Simplify right side
    111.22x = 9,908.91
  5. Step 5: Solve for x
    x = 9,908.91/111.22
  6. Step 6: Final answer
    x = 89.09

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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.