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Finding the Fourth Proportional to 124.48, 186.77 and 66.70

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Solution

The fourth proportional to 124.48, 186.77 and 66.70 is: 100.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.48 : 186.77 = 66.70 : x
  2. Step 2: Convert to fraction form
    124.48/186.77 = 66.70/x
  3. Step 3: Cross multiply
    124.48x = 186.77 × 66.70
  4. Step 4: Simplify right side
    124.48x = 12,457.56
  5. Step 5: Solve for x
    x = 12,457.56/124.48
  6. Step 6: Final answer
    x = 100.08

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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.