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Finding the Fourth Proportional to 123.88, 185.82 and 32.58

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Solution

The fourth proportional to 123.88, 185.82 and 32.58 is: 48.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.88 : 185.82 = 32.58 : x
  2. Step 2: Convert to fraction form
    123.88/185.82 = 32.58/x
  3. Step 3: Cross multiply
    123.88x = 185.82 × 32.58
  4. Step 4: Simplify right side
    123.88x = 6,054.02
  5. Step 5: Solve for x
    x = 6,054.02/123.88
  6. Step 6: Final answer
    x = 48.87

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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.