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Finding the Fourth Proportional to 374.05, 561.05 and 114.11

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Solution

The fourth proportional to 374.05, 561.05 and 114.11 is: 171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.05 : 561.05 = 114.11 : x
  2. Step 2: Convert to fraction form
    374.05/561.05 = 114.11/x
  3. Step 3: Cross multiply
    374.05x = 561.05 × 114.11
  4. Step 4: Simplify right side
    374.05x = 64,021.69
  5. Step 5: Solve for x
    x = 64,021.69/374.05
  6. Step 6: Final answer
    x = 171.16

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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.