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Finding the Fourth Proportional to 147.69, 221.60 and 109.69

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Solution

The fourth proportional to 147.69, 221.60 and 109.69 is: 164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.69 : 221.60 = 109.69 : x
  2. Step 2: Convert to fraction form
    147.69/221.60 = 109.69/x
  3. Step 3: Cross multiply
    147.69x = 221.60 × 109.69
  4. Step 4: Simplify right side
    147.69x = 24,307.02
  5. Step 5: Solve for x
    x = 24,307.02/147.69
  6. Step 6: Final answer
    x = 164.58

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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.