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Finding the Fourth Proportional to 82.83, 114.23 and 64.38

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Solution

The fourth proportional to 82.83, 114.23 and 64.38 is: 88.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.83 : 114.23 = 64.38 : x
  2. Step 2: Convert to fraction form
    82.83/114.23 = 64.38/x
  3. Step 3: Cross multiply
    82.83x = 114.23 × 64.38
  4. Step 4: Simplify right side
    82.83x = 7,353.81
  5. Step 5: Solve for x
    x = 7,353.81/82.83
  6. Step 6: Final answer
    x = 88.78

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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.