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Finding the Fourth Proportional to 105.30, 145.46 and 74.30

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Solution

The fourth proportional to 105.30, 145.46 and 74.30 is: 102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.30 : 145.46 = 74.30 : x
  2. Step 2: Convert to fraction form
    105.30/145.46 = 74.30/x
  3. Step 3: Cross multiply
    105.30x = 145.46 × 74.30
  4. Step 4: Simplify right side
    105.30x = 10,807.68
  5. Step 5: Solve for x
    x = 10,807.68/105.30
  6. Step 6: Final answer
    x = 102.64

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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.