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Finding the Fourth Proportional to 47.16, 70.70 and 23.12

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Solution

The fourth proportional to 47.16, 70.70 and 23.12 is: 34.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.16 : 70.70 = 23.12 : x
  2. Step 2: Convert to fraction form
    47.16/70.70 = 23.12/x
  3. Step 3: Cross multiply
    47.16x = 70.70 × 23.12
  4. Step 4: Simplify right side
    47.16x = 1,634.58
  5. Step 5: Solve for x
    x = 1,634.58/47.16
  6. Step 6: Final answer
    x = 34.66

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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.