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Finding the Fourth Proportional to 71.56, 107.40 and 57.07

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Solution

The fourth proportional to 71.56, 107.40 and 57.07 is: 85.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.56 : 107.40 = 57.07 : x
  2. Step 2: Convert to fraction form
    71.56/107.40 = 57.07/x
  3. Step 3: Cross multiply
    71.56x = 107.40 × 57.07
  4. Step 4: Simplify right side
    71.56x = 6,129.32
  5. Step 5: Solve for x
    x = 6,129.32/71.56
  6. Step 6: Final answer
    x = 85.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.