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Finding the Fourth Proportional to 105.83, 145.99 and 69.01

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Solution

The fourth proportional to 105.83, 145.99 and 69.01 is: 95.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.83 : 145.99 = 69.01 : x
  2. Step 2: Convert to fraction form
    105.83/145.99 = 69.01/x
  3. Step 3: Cross multiply
    105.83x = 145.99 × 69.01
  4. Step 4: Simplify right side
    105.83x = 10,074.23
  5. Step 5: Solve for x
    x = 10,074.23/105.83
  6. Step 6: Final answer
    x = 95.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.