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Finding the Fourth Proportional to 70.14, 104.54 and 64.67

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Solution

The fourth proportional to 70.14, 104.54 and 64.67 is: 96.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.14 : 104.54 = 64.67 : x
  2. Step 2: Convert to fraction form
    70.14/104.54 = 64.67/x
  3. Step 3: Cross multiply
    70.14x = 104.54 × 64.67
  4. Step 4: Simplify right side
    70.14x = 6,760.63
  5. Step 5: Solve for x
    x = 6,760.63/70.14
  6. Step 6: Final answer
    x = 96.39

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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.