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Finding the Fourth Proportional to 53.47, 80.52 and 47.81

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Solution

The fourth proportional to 53.47, 80.52 and 47.81 is: 72.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.47 : 80.52 = 47.81 : x
  2. Step 2: Convert to fraction form
    53.47/80.52 = 47.81/x
  3. Step 3: Cross multiply
    53.47x = 80.52 × 47.81
  4. Step 4: Simplify right side
    53.47x = 3,849.66
  5. Step 5: Solve for x
    x = 3,849.66/53.47
  6. Step 6: Final answer
    x = 72.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.