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Finding the Fourth Proportional to 82.89, 114.29 and 72.63

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Solution

The fourth proportional to 82.89, 114.29 and 72.63 is: 100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.89 : 114.29 = 72.63 : x
  2. Step 2: Convert to fraction form
    82.89/114.29 = 72.63/x
  3. Step 3: Cross multiply
    82.89x = 114.29 × 72.63
  4. Step 4: Simplify right side
    82.89x = 8,300.52
  5. Step 5: Solve for x
    x = 8,300.52/82.89
  6. Step 6: Final answer
    x = 100.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.