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Finding the Fourth Proportional to 124.35, 186.22 and 70.14

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Solution

The fourth proportional to 124.35, 186.22 and 70.14 is: 105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.35 : 186.22 = 70.14 : x
  2. Step 2: Convert to fraction form
    124.35/186.22 = 70.14/x
  3. Step 3: Cross multiply
    124.35x = 186.22 × 70.14
  4. Step 4: Simplify right side
    124.35x = 13,061.30
  5. Step 5: Solve for x
    x = 13,061.30/124.35
  6. Step 6: Final answer
    x = 105.04

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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.