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Finding the Fourth Proportional to 53.00, 73.17 and 39.86

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Solution

The fourth proportional to 53.00, 73.17 and 39.86 is: 55.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.00 : 73.17 = 39.86 : x
  2. Step 2: Convert to fraction form
    53.00/73.17 = 39.86/x
  3. Step 3: Cross multiply
    53.00x = 73.17 × 39.86
  4. Step 4: Simplify right side
    53.00x = 2,916.19
  5. Step 5: Solve for x
    x = 2,916.19/53.00
  6. Step 6: Final answer
    x = 55.03

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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.