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Finding the Fourth Proportional to 124.80, 171.96 and 105.36

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Solution

The fourth proportional to 124.80, 171.96 and 105.36 is: 145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.80 : 171.96 = 105.36 : x
  2. Step 2: Convert to fraction form
    124.80/171.96 = 105.36/x
  3. Step 3: Cross multiply
    124.80x = 171.96 × 105.36
  4. Step 4: Simplify right side
    124.80x = 18,117.71
  5. Step 5: Solve for x
    x = 18,117.71/124.80
  6. Step 6: Final answer
    x = 145.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.