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Finding the Fourth Proportional to 124.42, 186.66 and 55.98

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Solution

The fourth proportional to 124.42, 186.66 and 55.98 is: 83.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.42 : 186.66 = 55.98 : x
  2. Step 2: Convert to fraction form
    124.42/186.66 = 55.98/x
  3. Step 3: Cross multiply
    124.42x = 186.66 × 55.98
  4. Step 4: Simplify right side
    124.42x = 10,449.23
  5. Step 5: Solve for x
    x = 10,449.23/124.42
  6. Step 6: Final answer
    x = 83.98

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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.