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Finding the Fourth Proportional to 105.83, 159.03 and 99.89

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Solution

The fourth proportional to 105.83, 159.03 and 99.89 is: 150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.83 : 159.03 = 99.89 : x
  2. Step 2: Convert to fraction form
    105.83/159.03 = 99.89/x
  3. Step 3: Cross multiply
    105.83x = 159.03 × 99.89
  4. Step 4: Simplify right side
    105.83x = 15,885.51
  5. Step 5: Solve for x
    x = 15,885.51/105.83
  6. Step 6: Final answer
    x = 150.10

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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.