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Finding the Fourth Proportional to 210.92, 316.10 and 89.06

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Solution

The fourth proportional to 210.92, 316.10 and 89.06 is: 133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.92 : 316.10 = 89.06 : x
  2. Step 2: Convert to fraction form
    210.92/316.10 = 89.06/x
  3. Step 3: Cross multiply
    210.92x = 316.10 × 89.06
  4. Step 4: Simplify right side
    210.92x = 28,149.84
  5. Step 5: Solve for x
    x = 28,149.84/210.92
  6. Step 6: Final answer
    x = 133.47

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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.