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Finding the Fourth Proportional to 124.06, 186.14 and 66.28

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Solution

The fourth proportional to 124.06, 186.14 and 66.28 is: 99.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.06 : 186.14 = 66.28 : x
  2. Step 2: Convert to fraction form
    124.06/186.14 = 66.28/x
  3. Step 3: Cross multiply
    124.06x = 186.14 × 66.28
  4. Step 4: Simplify right side
    124.06x = 12,337.36
  5. Step 5: Solve for x
    x = 12,337.36/124.06
  6. Step 6: Final answer
    x = 99.45

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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.