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Finding the Fourth Proportional to 42.68, 64.01 and 28.24

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Solution

The fourth proportional to 42.68, 64.01 and 28.24 is: 42.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.68 : 64.01 = 28.24 : x
  2. Step 2: Convert to fraction form
    42.68/64.01 = 28.24/x
  3. Step 3: Cross multiply
    42.68x = 64.01 × 28.24
  4. Step 4: Simplify right side
    42.68x = 1,807.34
  5. Step 5: Solve for x
    x = 1,807.34/42.68
  6. Step 6: Final answer
    x = 42.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.