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Finding the Fourth Proportional to 85.32, 127.38 and 71.64

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Solution

The fourth proportional to 85.32, 127.38 and 71.64 is: 106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.32 : 127.38 = 71.64 : x
  2. Step 2: Convert to fraction form
    85.32/127.38 = 71.64/x
  3. Step 3: Cross multiply
    85.32x = 127.38 × 71.64
  4. Step 4: Simplify right side
    85.32x = 9,125.50
  5. Step 5: Solve for x
    x = 9,125.50/85.32
  6. Step 6: Final answer
    x = 106.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.