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Finding the Fourth Proportional to 86.78, 130.07 and 48.26

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Solution

The fourth proportional to 86.78, 130.07 and 48.26 is: 72.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.78 : 130.07 = 48.26 : x
  2. Step 2: Convert to fraction form
    86.78/130.07 = 48.26/x
  3. Step 3: Cross multiply
    86.78x = 130.07 × 48.26
  4. Step 4: Simplify right side
    86.78x = 6,276.65
  5. Step 5: Solve for x
    x = 6,276.65/86.78
  6. Step 6: Final answer
    x = 72.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.