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Finding the Fourth Proportional to 53.52, 79.88 and 49.66

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Solution

The fourth proportional to 53.52, 79.88 and 49.66 is: 74.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.52 : 79.88 = 49.66 : x
  2. Step 2: Convert to fraction form
    53.52/79.88 = 49.66/x
  3. Step 3: Cross multiply
    53.52x = 79.88 × 49.66
  4. Step 4: Simplify right side
    53.52x = 3,966.84
  5. Step 5: Solve for x
    x = 3,966.84/53.52
  6. Step 6: Final answer
    x = 74.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.