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Finding the Fourth Proportional to 74.65, 111.86 and 47.23

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Solution

The fourth proportional to 74.65, 111.86 and 47.23 is: 70.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.65 : 111.86 = 47.23 : x
  2. Step 2: Convert to fraction form
    74.65/111.86 = 47.23/x
  3. Step 3: Cross multiply
    74.65x = 111.86 × 47.23
  4. Step 4: Simplify right side
    74.65x = 5,283.15
  5. Step 5: Solve for x
    x = 5,283.15/74.65
  6. Step 6: Final answer
    x = 70.77

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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.