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Finding the Fourth Proportional to 210.70, 316.07 and 66.42

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Solution

The fourth proportional to 210.70, 316.07 and 66.42 is: 99.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.70 : 316.07 = 66.42 : x
  2. Step 2: Convert to fraction form
    210.70/316.07 = 66.42/x
  3. Step 3: Cross multiply
    210.70x = 316.07 × 66.42
  4. Step 4: Simplify right side
    210.70x = 20,993.37
  5. Step 5: Solve for x
    x = 20,993.37/210.70
  6. Step 6: Final answer
    x = 99.64

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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.