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Finding the Fourth Proportional to 105.83, 158.69 and 60.10

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Solution

The fourth proportional to 105.83, 158.69 and 60.10 is: 90.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.83 : 158.69 = 60.10 : x
  2. Step 2: Convert to fraction form
    105.83/158.69 = 60.10/x
  3. Step 3: Cross multiply
    105.83x = 158.69 × 60.10
  4. Step 4: Simplify right side
    105.83x = 9,537.02
  5. Step 5: Solve for x
    x = 9,537.02/105.83
  6. Step 6: Final answer
    x = 90.12

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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.