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Finding the Fourth Proportional to 141.60, 195.36 and 89.88

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Solution

The fourth proportional to 141.60, 195.36 and 89.88 is: 124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.60 : 195.36 = 89.88 : x
  2. Step 2: Convert to fraction form
    141.60/195.36 = 89.88/x
  3. Step 3: Cross multiply
    141.60x = 195.36 × 89.88
  4. Step 4: Simplify right side
    141.60x = 17,558.96
  5. Step 5: Solve for x
    x = 17,558.96/141.60
  6. Step 6: Final answer
    x = 124.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.