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Finding the Fourth Proportional to 56.39, 84.17 and 49.23

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Solution

The fourth proportional to 56.39, 84.17 and 49.23 is: 73.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.39 : 84.17 = 49.23 : x
  2. Step 2: Convert to fraction form
    56.39/84.17 = 49.23/x
  3. Step 3: Cross multiply
    56.39x = 84.17 × 49.23
  4. Step 4: Simplify right side
    56.39x = 4,143.81
  5. Step 5: Solve for x
    x = 4,143.81/56.39
  6. Step 6: Final answer
    x = 73.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.