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Finding the Fourth Proportional to 53.46, 79.74 and 47.82

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Solution

The fourth proportional to 53.46, 79.74 and 47.82 is: 71.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.46 : 79.74 = 47.82 : x
  2. Step 2: Convert to fraction form
    53.46/79.74 = 47.82/x
  3. Step 3: Cross multiply
    53.46x = 79.74 × 47.82
  4. Step 4: Simplify right side
    53.46x = 3,813.17
  5. Step 5: Solve for x
    x = 3,813.17/53.46
  6. Step 6: Final answer
    x = 71.33

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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.