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Finding the Fourth Proportional to 92.78, 127.93 and 64.32

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Solution

The fourth proportional to 92.78, 127.93 and 64.32 is: 88.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.78 : 127.93 = 64.32 : x
  2. Step 2: Convert to fraction form
    92.78/127.93 = 64.32/x
  3. Step 3: Cross multiply
    92.78x = 127.93 × 64.32
  4. Step 4: Simplify right side
    92.78x = 8,228.46
  5. Step 5: Solve for x
    x = 8,228.46/92.78
  6. Step 6: Final answer
    x = 88.69

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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.