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Finding the Fourth Proportional to 108.60, 162.02 and 97.05

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Solution

The fourth proportional to 108.60, 162.02 and 97.05 is: 144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.60 : 162.02 = 97.05 : x
  2. Step 2: Convert to fraction form
    108.60/162.02 = 97.05/x
  3. Step 3: Cross multiply
    108.60x = 162.02 × 97.05
  4. Step 4: Simplify right side
    108.60x = 15,724.89
  5. Step 5: Solve for x
    x = 15,724.89/108.60
  6. Step 6: Final answer
    x = 144.80

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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.