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Finding the Fourth Proportional to 271.69, 407.72 and 100.69

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Solution

The fourth proportional to 271.69, 407.72 and 100.69 is: 151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.69 : 407.72 = 100.69 : x
  2. Step 2: Convert to fraction form
    271.69/407.72 = 100.69/x
  3. Step 3: Cross multiply
    271.69x = 407.72 × 100.69
  4. Step 4: Simplify right side
    271.69x = 41,051.80
  5. Step 5: Solve for x
    x = 41,051.80/271.69
  6. Step 6: Final answer
    x = 151.10

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