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Finding the Fourth Proportional to 102.33, 153.14 and 61.83

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Solution

The fourth proportional to 102.33, 153.14 and 61.83 is: 92.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.33 : 153.14 = 61.83 : x
  2. Step 2: Convert to fraction form
    102.33/153.14 = 61.83/x
  3. Step 3: Cross multiply
    102.33x = 153.14 × 61.83
  4. Step 4: Simplify right side
    102.33x = 9,468.34
  5. Step 5: Solve for x
    x = 9,468.34/102.33
  6. Step 6: Final answer
    x = 92.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.