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Finding the Fourth Proportional to 53.15, 79.76 and 41.14

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Solution

The fourth proportional to 53.15, 79.76 and 41.14 is: 61.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.15 : 79.76 = 41.14 : x
  2. Step 2: Convert to fraction form
    53.15/79.76 = 41.14/x
  3. Step 3: Cross multiply
    53.15x = 79.76 × 41.14
  4. Step 4: Simplify right side
    53.15x = 3,281.33
  5. Step 5: Solve for x
    x = 3,281.33/53.15
  6. Step 6: Final answer
    x = 61.74

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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.