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Finding the Fourth Proportional to 72.63, 100.31 and 62.81

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Solution

The fourth proportional to 72.63, 100.31 and 62.81 is: 86.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.63 : 100.31 = 62.81 : x
  2. Step 2: Convert to fraction form
    72.63/100.31 = 62.81/x
  3. Step 3: Cross multiply
    72.63x = 100.31 × 62.81
  4. Step 4: Simplify right side
    72.63x = 6,300.03
  5. Step 5: Solve for x
    x = 6,300.03/72.63
  6. Step 6: Final answer
    x = 86.74

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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.