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Finding the Fourth Proportional to 64.38, 96.18 and 52.23

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Solution

The fourth proportional to 64.38, 96.18 and 52.23 is: 78.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.38 : 96.18 = 52.23 : x
  2. Step 2: Convert to fraction form
    64.38/96.18 = 52.23/x
  3. Step 3: Cross multiply
    64.38x = 96.18 × 52.23
  4. Step 4: Simplify right side
    64.38x = 5,023.48
  5. Step 5: Solve for x
    x = 5,023.48/64.38
  6. Step 6: Final answer
    x = 78.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.