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Finding the Fourth Proportional to 122.83, 169.51 and 70.35

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Solution

The fourth proportional to 122.83, 169.51 and 70.35 is: 97.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.83 : 169.51 = 70.35 : x
  2. Step 2: Convert to fraction form
    122.83/169.51 = 70.35/x
  3. Step 3: Cross multiply
    122.83x = 169.51 × 70.35
  4. Step 4: Simplify right side
    122.83x = 11,926.03
  5. Step 5: Solve for x
    x = 11,926.03/122.83
  6. Step 6: Final answer
    x = 97.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.