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Finding the Fourth Proportional to 53.25, 79.91 and 24.75

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Solution

The fourth proportional to 53.25, 79.91 and 24.75 is: 37.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.25 : 79.91 = 24.75 : x
  2. Step 2: Convert to fraction form
    53.25/79.91 = 24.75/x
  3. Step 3: Cross multiply
    53.25x = 79.91 × 24.75
  4. Step 4: Simplify right side
    53.25x = 1,977.77
  5. Step 5: Solve for x
    x = 1,977.77/53.25
  6. Step 6: Final answer
    x = 37.14

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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.