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Finding the Fourth Proportional to 82.87, 114.33 and 53.75

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Solution

The fourth proportional to 82.87, 114.33 and 53.75 is: 74.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.87 : 114.33 = 53.75 : x
  2. Step 2: Convert to fraction form
    82.87/114.33 = 53.75/x
  3. Step 3: Cross multiply
    82.87x = 114.33 × 53.75
  4. Step 4: Simplify right side
    82.87x = 6,145.24
  5. Step 5: Solve for x
    x = 6,145.24/82.87
  6. Step 6: Final answer
    x = 74.16

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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.