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Finding the Fourth Proportional to 70.14, 105.04 and 65.32

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Solution

The fourth proportional to 70.14, 105.04 and 65.32 is: 97.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.14 : 105.04 = 65.32 : x
  2. Step 2: Convert to fraction form
    70.14/105.04 = 65.32/x
  3. Step 3: Cross multiply
    70.14x = 105.04 × 65.32
  4. Step 4: Simplify right side
    70.14x = 6,860.79
  5. Step 5: Solve for x
    x = 6,860.79/70.14
  6. Step 6: Final answer
    x = 97.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.