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Finding the Fourth Proportional to 53, 73.24 and 45.20

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Solution

The fourth proportional to 53, 73.24 and 45.20 is: 62.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53 : 73.24 = 45.20 : x
  2. Step 2: Convert to fraction form
    53/73.24 = 45.20/x
  3. Step 3: Cross multiply
    53x = 73.24 × 45.20
  4. Step 4: Simplify right side
    53x = 3,310.45
  5. Step 5: Solve for x
    x = 3,310.45/53
  6. Step 6: Final answer
    x = 62.46

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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.