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Finding the Fourth Proportional to 107.22, 159.98 and 95.95

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Solution

The fourth proportional to 107.22, 159.98 and 95.95 is: 143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.22 : 159.98 = 95.95 : x
  2. Step 2: Convert to fraction form
    107.22/159.98 = 95.95/x
  3. Step 3: Cross multiply
    107.22x = 159.98 × 95.95
  4. Step 4: Simplify right side
    107.22x = 15,349.28
  5. Step 5: Solve for x
    x = 15,349.28/107.22
  6. Step 6: Final answer
    x = 143.16

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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.