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Finding the Fourth Proportional to 53.32, 79.96 and 26.25

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Solution

The fourth proportional to 53.32, 79.96 and 26.25 is: 39.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.32 : 79.96 = 26.25 : x
  2. Step 2: Convert to fraction form
    53.32/79.96 = 26.25/x
  3. Step 3: Cross multiply
    53.32x = 79.96 × 26.25
  4. Step 4: Simplify right side
    53.32x = 2,098.95
  5. Step 5: Solve for x
    x = 2,098.95/53.32
  6. Step 6: Final answer
    x = 39.37

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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.