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Finding the Fourth Proportional to 65.53, 90.34 and 52.43

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Solution

The fourth proportional to 65.53, 90.34 and 52.43 is: 72.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.53 : 90.34 = 52.43 : x
  2. Step 2: Convert to fraction form
    65.53/90.34 = 52.43/x
  3. Step 3: Cross multiply
    65.53x = 90.34 × 52.43
  4. Step 4: Simplify right side
    65.53x = 4,736.75
  5. Step 5: Solve for x
    x = 4,736.75/65.53
  6. Step 6: Final answer
    x = 72.29

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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.