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Finding the Fourth Proportional to 85.23, 127.59 and 64.89

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Solution

The fourth proportional to 85.23, 127.59 and 64.89 is: 97.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.23 : 127.59 = 64.89 : x
  2. Step 2: Convert to fraction form
    85.23/127.59 = 64.89/x
  3. Step 3: Cross multiply
    85.23x = 127.59 × 64.89
  4. Step 4: Simplify right side
    85.23x = 8,279.32
  5. Step 5: Solve for x
    x = 8,279.32/85.23
  6. Step 6: Final answer
    x = 97.14

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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.