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Finding the Fourth Proportional to 82.07, 122.55 and 70.64

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Solution

The fourth proportional to 82.07, 122.55 and 70.64 is: 105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.07 : 122.55 = 70.64 : x
  2. Step 2: Convert to fraction form
    82.07/122.55 = 70.64/x
  3. Step 3: Cross multiply
    82.07x = 122.55 × 70.64
  4. Step 4: Simplify right side
    82.07x = 8,656.93
  5. Step 5: Solve for x
    x = 8,656.93/82.07
  6. Step 6: Final answer
    x = 105.48

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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.