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Finding the Fourth Proportional to 141, 210.88 and 120.95

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Solution

The fourth proportional to 141, 210.88 and 120.95 is: 180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141 : 210.88 = 120.95 : x
  2. Step 2: Convert to fraction form
    141/210.88 = 120.95/x
  3. Step 3: Cross multiply
    141x = 210.88 × 120.95
  4. Step 4: Simplify right side
    141x = 25,505.94
  5. Step 5: Solve for x
    x = 25,505.94/141
  6. Step 6: Final answer
    x = 180.89

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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.