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Finding the Fourth Proportional to 70.02, 96.65 and 61.78

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Solution

The fourth proportional to 70.02, 96.65 and 61.78 is: 85.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.02 : 96.65 = 61.78 : x
  2. Step 2: Convert to fraction form
    70.02/96.65 = 61.78/x
  3. Step 3: Cross multiply
    70.02x = 96.65 × 61.78
  4. Step 4: Simplify right side
    70.02x = 5,971.04
  5. Step 5: Solve for x
    x = 5,971.04/70.02
  6. Step 6: Final answer
    x = 85.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.