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Finding the Fourth Proportional to 111.47, 153.81 and 62.34

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Solution

The fourth proportional to 111.47, 153.81 and 62.34 is: 86.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.47 : 153.81 = 62.34 : x
  2. Step 2: Convert to fraction form
    111.47/153.81 = 62.34/x
  3. Step 3: Cross multiply
    111.47x = 153.81 × 62.34
  4. Step 4: Simplify right side
    111.47x = 9,588.75
  5. Step 5: Solve for x
    x = 9,588.75/111.47
  6. Step 6: Final answer
    x = 86.02

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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.