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Finding the Fourth Proportional to 70.58, 106.47 and 68.30

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Solution

The fourth proportional to 70.58, 106.47 and 68.30 is: 103.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.58 : 106.47 = 68.30 : x
  2. Step 2: Convert to fraction form
    70.58/106.47 = 68.30/x
  3. Step 3: Cross multiply
    70.58x = 106.47 × 68.30
  4. Step 4: Simplify right side
    70.58x = 7,271.37
  5. Step 5: Solve for x
    x = 7,271.37/70.58
  6. Step 6: Final answer
    x = 103.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.