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Finding the Fourth Proportional to 92.54, 127.64 and 64.94

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Solution

The fourth proportional to 92.54, 127.64 and 64.94 is: 89.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.54 : 127.64 = 64.94 : x
  2. Step 2: Convert to fraction form
    92.54/127.64 = 64.94/x
  3. Step 3: Cross multiply
    92.54x = 127.64 × 64.94
  4. Step 4: Simplify right side
    92.54x = 8,288.47
  5. Step 5: Solve for x
    x = 8,288.47/92.54
  6. Step 6: Final answer
    x = 89.56

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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.