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Finding the Fourth Proportional to 141.76, 212.70 and 96.08

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Solution

The fourth proportional to 141.76, 212.70 and 96.08 is: 144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.76 : 212.70 = 96.08 : x
  2. Step 2: Convert to fraction form
    141.76/212.70 = 96.08/x
  3. Step 3: Cross multiply
    141.76x = 212.70 × 96.08
  4. Step 4: Simplify right side
    141.76x = 20,436.51
  5. Step 5: Solve for x
    x = 20,436.51/141.76
  6. Step 6: Final answer
    x = 144.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.