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Finding the Fourth Proportional to 315.67, 473.53 and 107.42

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Solution

The fourth proportional to 315.67, 473.53 and 107.42 is: 161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.67 : 473.53 = 107.42 : x
  2. Step 2: Convert to fraction form
    315.67/473.53 = 107.42/x
  3. Step 3: Cross multiply
    315.67x = 473.53 × 107.42
  4. Step 4: Simplify right side
    315.67x = 50,867.51
  5. Step 5: Solve for x
    x = 50,867.51/315.67
  6. Step 6: Final answer
    x = 161.14

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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.