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Finding the Fourth Proportional to 105.16, 145.08 and 74.08

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Solution

The fourth proportional to 105.16, 145.08 and 74.08 is: 102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.16 : 145.08 = 74.08 : x
  2. Step 2: Convert to fraction form
    105.16/145.08 = 74.08/x
  3. Step 3: Cross multiply
    105.16x = 145.08 × 74.08
  4. Step 4: Simplify right side
    105.16x = 10,747.53
  5. Step 5: Solve for x
    x = 10,747.53/105.16
  6. Step 6: Final answer
    x = 102.20

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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.