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Finding the Fourth Proportional to 313.16, 469.72 and 107.72

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Solution

The fourth proportional to 313.16, 469.72 and 107.72 is: 161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.16 : 469.72 = 107.72 : x
  2. Step 2: Convert to fraction form
    313.16/469.72 = 107.72/x
  3. Step 3: Cross multiply
    313.16x = 469.72 × 107.72
  4. Step 4: Simplify right side
    313.16x = 50,598.24
  5. Step 5: Solve for x
    x = 50,598.24/313.16
  6. Step 6: Final answer
    x = 161.57

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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.