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Finding the Fourth Proportional to 47.23, 70.80 and 23.14

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Solution

The fourth proportional to 47.23, 70.80 and 23.14 is: 34.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.23 : 70.80 = 23.14 : x
  2. Step 2: Convert to fraction form
    47.23/70.80 = 23.14/x
  3. Step 3: Cross multiply
    47.23x = 70.80 × 23.14
  4. Step 4: Simplify right side
    47.23x = 1,637.84
  5. Step 5: Solve for x
    x = 1,637.84/47.23
  6. Step 6: Final answer
    x = 34.68

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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.