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Finding the Fourth Proportional to 141.16, 194.70 and 97.51

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Solution

The fourth proportional to 141.16, 194.70 and 97.51 is: 134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.16 : 194.70 = 97.51 : x
  2. Step 2: Convert to fraction form
    141.16/194.70 = 97.51/x
  3. Step 3: Cross multiply
    141.16x = 194.70 × 97.51
  4. Step 4: Simplify right side
    141.16x = 18,985.20
  5. Step 5: Solve for x
    x = 18,985.20/141.16
  6. Step 6: Final answer
    x = 134.49

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