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Finding the Fourth Proportional to 92.98, 128.31 and 51.54

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Solution

The fourth proportional to 92.98, 128.31 and 51.54 is: 71.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.98 : 128.31 = 51.54 : x
  2. Step 2: Convert to fraction form
    92.98/128.31 = 51.54/x
  3. Step 3: Cross multiply
    92.98x = 128.31 × 51.54
  4. Step 4: Simplify right side
    92.98x = 6,613.10
  5. Step 5: Solve for x
    x = 6,613.10/92.98
  6. Step 6: Final answer
    x = 71.12

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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.