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Finding the Fourth Proportional to 62.51, 86.27 and 40.74

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Solution

The fourth proportional to 62.51, 86.27 and 40.74 is: 56.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.51 : 86.27 = 40.74 : x
  2. Step 2: Convert to fraction form
    62.51/86.27 = 40.74/x
  3. Step 3: Cross multiply
    62.51x = 86.27 × 40.74
  4. Step 4: Simplify right side
    62.51x = 3,514.11
  5. Step 5: Solve for x
    x = 3,514.11/62.51
  6. Step 6: Final answer
    x = 56.22

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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.