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Finding the Fourth Proportional to 104.55, 157.20 and 97.05

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Solution

The fourth proportional to 104.55, 157.20 and 97.05 is: 145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.55 : 157.20 = 97.05 : x
  2. Step 2: Convert to fraction form
    104.55/157.20 = 97.05/x
  3. Step 3: Cross multiply
    104.55x = 157.20 × 97.05
  4. Step 4: Simplify right side
    104.55x = 15,256.26
  5. Step 5: Solve for x
    x = 15,256.26/104.55
  6. Step 6: Final answer
    x = 145.92

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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.