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Finding the Fourth Proportional to 316.21, 474.30 and 85.10

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Solution

The fourth proportional to 316.21, 474.30 and 85.10 is: 127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.21 : 474.30 = 85.10 : x
  2. Step 2: Convert to fraction form
    316.21/474.30 = 85.10/x
  3. Step 3: Cross multiply
    316.21x = 474.30 × 85.10
  4. Step 4: Simplify right side
    316.21x = 40,362.93
  5. Step 5: Solve for x
    x = 40,362.93/316.21
  6. Step 6: Final answer
    x = 127.65

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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.