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Finding the Fourth Proportional to 111.34, 153.64 and 62.22

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Solution

The fourth proportional to 111.34, 153.64 and 62.22 is: 85.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.34 : 153.64 = 62.22 : x
  2. Step 2: Convert to fraction form
    111.34/153.64 = 62.22/x
  3. Step 3: Cross multiply
    111.34x = 153.64 × 62.22
  4. Step 4: Simplify right side
    111.34x = 9,559.48
  5. Step 5: Solve for x
    x = 9,559.48/111.34
  6. Step 6: Final answer
    x = 85.86

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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.