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Finding the Fourth Proportional to 212.04, 292.47 and 124.68

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Solution

The fourth proportional to 212.04, 292.47 and 124.68 is: 171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.04 : 292.47 = 124.68 : x
  2. Step 2: Convert to fraction form
    212.04/292.47 = 124.68/x
  3. Step 3: Cross multiply
    212.04x = 292.47 × 124.68
  4. Step 4: Simplify right side
    212.04x = 36,465.16
  5. Step 5: Solve for x
    x = 36,465.16/212.04
  6. Step 6: Final answer
    x = 171.97

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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.