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Finding the Fourth Proportional to 74.72, 111.32 and 70.06

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Solution

The fourth proportional to 74.72, 111.32 and 70.06 is: 104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.72 : 111.32 = 70.06 : x
  2. Step 2: Convert to fraction form
    74.72/111.32 = 70.06/x
  3. Step 3: Cross multiply
    74.72x = 111.32 × 70.06
  4. Step 4: Simplify right side
    74.72x = 7,799.08
  5. Step 5: Solve for x
    x = 7,799.08/74.72
  6. Step 6: Final answer
    x = 104.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.