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Finding the Fourth Proportional to 64.01, 88.31 and 40.69

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Solution

The fourth proportional to 64.01, 88.31 and 40.69 is: 56.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.01 : 88.31 = 40.69 : x
  2. Step 2: Convert to fraction form
    64.01/88.31 = 40.69/x
  3. Step 3: Cross multiply
    64.01x = 88.31 × 40.69
  4. Step 4: Simplify right side
    64.01x = 3,593.33
  5. Step 5: Solve for x
    x = 3,593.33/64.01
  6. Step 6: Final answer
    x = 56.14

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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.