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Finding the Fourth Proportional to 64.39, 97.02 and 53.23

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Solution

The fourth proportional to 64.39, 97.02 and 53.23 is: 80.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.39 : 97.02 = 53.23 : x
  2. Step 2: Convert to fraction form
    64.39/97.02 = 53.23/x
  3. Step 3: Cross multiply
    64.39x = 97.02 × 53.23
  4. Step 4: Simplify right side
    64.39x = 5,164.37
  5. Step 5: Solve for x
    x = 5,164.37/64.39
  6. Step 6: Final answer
    x = 80.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.