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Finding the Fourth Proportional to 124.24, 186.28 and 70.16

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Solution

The fourth proportional to 124.24, 186.28 and 70.16 is: 105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.24 : 186.28 = 70.16 : x
  2. Step 2: Convert to fraction form
    124.24/186.28 = 70.16/x
  3. Step 3: Cross multiply
    124.24x = 186.28 × 70.16
  4. Step 4: Simplify right side
    124.24x = 13,069.40
  5. Step 5: Solve for x
    x = 13,069.40/124.24
  6. Step 6: Final answer
    x = 105.19

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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.