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Finding the Fourth Proportional to 47.10, 70.66 and 21.42

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Solution

The fourth proportional to 47.10, 70.66 and 21.42 is: 32.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.10 : 70.66 = 21.42 : x
  2. Step 2: Convert to fraction form
    47.10/70.66 = 21.42/x
  3. Step 3: Cross multiply
    47.10x = 70.66 × 21.42
  4. Step 4: Simplify right side
    47.10x = 1,513.54
  5. Step 5: Solve for x
    x = 1,513.54/47.10
  6. Step 6: Final answer
    x = 32.13

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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.