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Finding the Fourth Proportional to 47.10, 70.78 and 23.06

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Solution

The fourth proportional to 47.10, 70.78 and 23.06 is: 34.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.10 : 70.78 = 23.06 : x
  2. Step 2: Convert to fraction form
    47.10/70.78 = 23.06/x
  3. Step 3: Cross multiply
    47.10x = 70.78 × 23.06
  4. Step 4: Simplify right side
    47.10x = 1,632.19
  5. Step 5: Solve for x
    x = 1,632.19/47.10
  6. Step 6: Final answer
    x = 34.65

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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.