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Finding the Fourth Proportional to 85.07, 127.47 and 64.82

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Solution

The fourth proportional to 85.07, 127.47 and 64.82 is: 97.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.07 : 127.47 = 64.82 : x
  2. Step 2: Convert to fraction form
    85.07/127.47 = 64.82/x
  3. Step 3: Cross multiply
    85.07x = 127.47 × 64.82
  4. Step 4: Simplify right side
    85.07x = 8,262.61
  5. Step 5: Solve for x
    x = 8,262.61/85.07
  6. Step 6: Final answer
    x = 97.13

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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.