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Finding the Fourth Proportional to 105.90, 146.82 and 95.10

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Solution

The fourth proportional to 105.90, 146.82 and 95.10 is: 131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.90 : 146.82 = 95.10 : x
  2. Step 2: Convert to fraction form
    105.90/146.82 = 95.10/x
  3. Step 3: Cross multiply
    105.90x = 146.82 × 95.10
  4. Step 4: Simplify right side
    105.90x = 13,962.58
  5. Step 5: Solve for x
    x = 13,962.58/105.90
  6. Step 6: Final answer
    x = 131.85

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.