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Finding the Fourth Proportional to 165.42, 248.06 and 74.05

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Solution

The fourth proportional to 165.42, 248.06 and 74.05 is: 111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 248.06 = 74.05 : x
  2. Step 2: Convert to fraction form
    165.42/248.06 = 74.05/x
  3. Step 3: Cross multiply
    165.42x = 248.06 × 74.05
  4. Step 4: Simplify right side
    165.42x = 18,368.84
  5. Step 5: Solve for x
    x = 18,368.84/165.42
  6. Step 6: Final answer
    x = 111.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.