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Finding the Fourth Proportional to 92.67, 127.85 and 65.00

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Solution

The fourth proportional to 92.67, 127.85 and 65.00 is: 89.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.67 : 127.85 = 65.00 : x
  2. Step 2: Convert to fraction form
    92.67/127.85 = 65.00/x
  3. Step 3: Cross multiply
    92.67x = 127.85 × 65.00
  4. Step 4: Simplify right side
    92.67x = 8,309.29
  5. Step 5: Solve for x
    x = 8,309.29/92.67
  6. Step 6: Final answer
    x = 89.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.