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Finding the Fourth Proportional to 53.28, 73.58 and 43.65

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Solution

The fourth proportional to 53.28, 73.58 and 43.65 is: 60.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.28 : 73.58 = 43.65 : x
  2. Step 2: Convert to fraction form
    53.28/73.58 = 43.65/x
  3. Step 3: Cross multiply
    53.28x = 73.58 × 43.65
  4. Step 4: Simplify right side
    53.28x = 3,211.55
  5. Step 5: Solve for x
    x = 3,211.55/53.28
  6. Step 6: Final answer
    x = 60.28

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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.