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Finding the Fourth Proportional to 74.34, 110.84 and 70.07

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Solution

The fourth proportional to 74.34, 110.84 and 70.07 is: 104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.34 : 110.84 = 70.07 : x
  2. Step 2: Convert to fraction form
    74.34/110.84 = 70.07/x
  3. Step 3: Cross multiply
    74.34x = 110.84 × 70.07
  4. Step 4: Simplify right side
    74.34x = 7,765.65
  5. Step 5: Solve for x
    x = 7,765.65/74.34
  6. Step 6: Final answer
    x = 104.46

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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.