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Finding the Fourth Proportional to 69.90, 96.51 and 51.54

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Solution

The fourth proportional to 69.90, 96.51 and 51.54 is: 71.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.90 : 96.51 = 51.54 : x
  2. Step 2: Convert to fraction form
    69.90/96.51 = 51.54/x
  3. Step 3: Cross multiply
    69.90x = 96.51 × 51.54
  4. Step 4: Simplify right side
    69.90x = 4,974.13
  5. Step 5: Solve for x
    x = 4,974.13/69.90
  6. Step 6: Final answer
    x = 71.16

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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.