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Finding the Fourth Proportional to 104.29, 157.23 and 97.90

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Solution

The fourth proportional to 104.29, 157.23 and 97.90 is: 147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.29 : 157.23 = 97.90 : x
  2. Step 2: Convert to fraction form
    104.29/157.23 = 97.90/x
  3. Step 3: Cross multiply
    104.29x = 157.23 × 97.90
  4. Step 4: Simplify right side
    104.29x = 15,392.82
  5. Step 5: Solve for x
    x = 15,392.82/104.29
  6. Step 6: Final answer
    x = 147.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.