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Finding the Fourth Proportional to 105.48, 145.59 and 68.70

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Solution

The fourth proportional to 105.48, 145.59 and 68.70 is: 94.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.48 : 145.59 = 68.70 : x
  2. Step 2: Convert to fraction form
    105.48/145.59 = 68.70/x
  3. Step 3: Cross multiply
    105.48x = 145.59 × 68.70
  4. Step 4: Simplify right side
    105.48x = 10,002.03
  5. Step 5: Solve for x
    x = 10,002.03/105.48
  6. Step 6: Final answer
    x = 94.82

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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.