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Finding the Fourth Proportional to 56.57, 84.70 and 40.23

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Solution

The fourth proportional to 56.57, 84.70 and 40.23 is: 60.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.57 : 84.70 = 40.23 : x
  2. Step 2: Convert to fraction form
    56.57/84.70 = 40.23/x
  3. Step 3: Cross multiply
    56.57x = 84.70 × 40.23
  4. Step 4: Simplify right side
    56.57x = 3,407.06
  5. Step 5: Solve for x
    x = 3,407.06/56.57
  6. Step 6: Final answer
    x = 60.23

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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.