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Finding the Fourth Proportional to 53.57, 74.30 and 51.74

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Solution

The fourth proportional to 53.57, 74.30 and 51.74 is: 71.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.57 : 74.30 = 51.74 : x
  2. Step 2: Convert to fraction form
    53.57/74.30 = 51.74/x
  3. Step 3: Cross multiply
    53.57x = 74.30 × 51.74
  4. Step 4: Simplify right side
    53.57x = 3,844.28
  5. Step 5: Solve for x
    x = 3,844.28/53.57
  6. Step 6: Final answer
    x = 71.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.