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Finding the Fourth Proportional to 105.78, 145.85 and 96.06

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Solution

The fourth proportional to 105.78, 145.85 and 96.06 is: 132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.78 : 145.85 = 96.06 : x
  2. Step 2: Convert to fraction form
    105.78/145.85 = 96.06/x
  3. Step 3: Cross multiply
    105.78x = 145.85 × 96.06
  4. Step 4: Simplify right side
    105.78x = 14,009.87
  5. Step 5: Solve for x
    x = 14,009.87/105.78
  6. Step 6: Final answer
    x = 132.44

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Why These Related Problems?

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