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Finding the Fourth Proportional to 43.02, 64.56 and 21.34

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Solution

The fourth proportional to 43.02, 64.56 and 21.34 is: 32.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.02 : 64.56 = 21.34 : x
  2. Step 2: Convert to fraction form
    43.02/64.56 = 21.34/x
  3. Step 3: Cross multiply
    43.02x = 64.56 × 21.34
  4. Step 4: Simplify right side
    43.02x = 1,377.71
  5. Step 5: Solve for x
    x = 1,377.71/43.02
  6. Step 6: Final answer
    x = 32.02

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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.