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Finding the Fourth Proportional to 53.06, 73.17 and 47.66

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Solution

The fourth proportional to 53.06, 73.17 and 47.66 is: 65.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.06 : 73.17 = 47.66 : x
  2. Step 2: Convert to fraction form
    53.06/73.17 = 47.66/x
  3. Step 3: Cross multiply
    53.06x = 73.17 × 47.66
  4. Step 4: Simplify right side
    53.06x = 3,486.92
  5. Step 5: Solve for x
    x = 3,486.92/53.06
  6. Step 6: Final answer
    x = 65.72

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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.