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Finding the Fourth Proportional to 82.16, 122.53 and 70.05

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Solution

The fourth proportional to 82.16, 122.53 and 70.05 is: 104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.16 : 122.53 = 70.05 : x
  2. Step 2: Convert to fraction form
    82.16/122.53 = 70.05/x
  3. Step 3: Cross multiply
    82.16x = 122.53 × 70.05
  4. Step 4: Simplify right side
    82.16x = 8,582.95
  5. Step 5: Solve for x
    x = 8,582.95/82.16
  6. Step 6: Final answer
    x = 104.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.