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Finding the Fourth Proportional to 105.08, 145.02 and 63.63

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Solution

The fourth proportional to 105.08, 145.02 and 63.63 is: 87.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.08 : 145.02 = 63.63 : x
  2. Step 2: Convert to fraction form
    105.08/145.02 = 63.63/x
  3. Step 3: Cross multiply
    105.08x = 145.02 × 63.63
  4. Step 4: Simplify right side
    105.08x = 9,227.62
  5. Step 5: Solve for x
    x = 9,227.62/105.08
  6. Step 6: Final answer
    x = 87.82

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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.