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Finding the Fourth Proportional to 64.09, 87.95 and 63.42

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Solution

The fourth proportional to 64.09, 87.95 and 63.42 is: 87.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.09 : 87.95 = 63.42 : x
  2. Step 2: Convert to fraction form
    64.09/87.95 = 63.42/x
  3. Step 3: Cross multiply
    64.09x = 87.95 × 63.42
  4. Step 4: Simplify right side
    64.09x = 5,577.79
  5. Step 5: Solve for x
    x = 5,577.79/64.09
  6. Step 6: Final answer
    x = 87.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.