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Finding the Fourth Proportional to 123.35, 185.86 and 102.15

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Solution

The fourth proportional to 123.35, 185.86 and 102.15 is: 153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.35 : 185.86 = 102.15 : x
  2. Step 2: Convert to fraction form
    123.35/185.86 = 102.15/x
  3. Step 3: Cross multiply
    123.35x = 185.86 × 102.15
  4. Step 4: Simplify right side
    123.35x = 18,986.06
  5. Step 5: Solve for x
    x = 18,986.06/123.35
  6. Step 6: Final answer
    x = 153.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.