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Finding the Fourth Proportional to 92.35, 127.27 and 64.67

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Solution

The fourth proportional to 92.35, 127.27 and 64.67 is: 89.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.35 : 127.27 = 64.67 : x
  2. Step 2: Convert to fraction form
    92.35/127.27 = 64.67/x
  3. Step 3: Cross multiply
    92.35x = 127.27 × 64.67
  4. Step 4: Simplify right side
    92.35x = 8,230.71
  5. Step 5: Solve for x
    x = 8,230.71/92.35
  6. Step 6: Final answer
    x = 89.13

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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.