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Finding the Fourth Proportional to 53.47, 73.78 and 41.17

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Solution

The fourth proportional to 53.47, 73.78 and 41.17 is: 56.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.47 : 73.78 = 41.17 : x
  2. Step 2: Convert to fraction form
    53.47/73.78 = 41.17/x
  3. Step 3: Cross multiply
    53.47x = 73.78 × 41.17
  4. Step 4: Simplify right side
    53.47x = 3,037.52
  5. Step 5: Solve for x
    x = 3,037.52/53.47
  6. Step 6: Final answer
    x = 56.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.