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Finding the Fourth Proportional to 105.44, 145.40 and 88.02

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Solution

The fourth proportional to 105.44, 145.40 and 88.02 is: 121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.44 : 145.40 = 88.02 : x
  2. Step 2: Convert to fraction form
    105.44/145.40 = 88.02/x
  3. Step 3: Cross multiply
    105.44x = 145.40 × 88.02
  4. Step 4: Simplify right side
    105.44x = 12,797.67
  5. Step 5: Solve for x
    x = 12,797.67/105.44
  6. Step 6: Final answer
    x = 121.38

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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.