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Finding the Fourth Proportional to 95.90, 142.89 and 91.98

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Solution

The fourth proportional to 95.90, 142.89 and 91.98 is: 137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.90 : 142.89 = 91.98 : x
  2. Step 2: Convert to fraction form
    95.90/142.89 = 91.98/x
  3. Step 3: Cross multiply
    95.90x = 142.89 × 91.98
  4. Step 4: Simplify right side
    95.90x = 13,142.68
  5. Step 5: Solve for x
    x = 13,142.68/95.90
  6. Step 6: Final answer
    x = 137.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.