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Finding the Fourth Proportional to 108.80, 146.40 and 108.80

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Solution

The fourth proportional to 108.80, 146.40 and 108.80 is: 146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.80 : 146.40 = 108.80 : x
  2. Step 2: Convert to fraction form
    108.80/146.40 = 108.80/x
  3. Step 3: Cross multiply
    108.80x = 146.40 × 108.80
  4. Step 4: Simplify right side
    108.80x = 15,928.32
  5. Step 5: Solve for x
    x = 15,928.32/108.80
  6. Step 6: Final answer
    x = 146.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.