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Finding the Fourth Proportional to 70.06, 96.56 and 60.64

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Solution

The fourth proportional to 70.06, 96.56 and 60.64 is: 83.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.06 : 96.56 = 60.64 : x
  2. Step 2: Convert to fraction form
    70.06/96.56 = 60.64/x
  3. Step 3: Cross multiply
    70.06x = 96.56 × 60.64
  4. Step 4: Simplify right side
    70.06x = 5,855.40
  5. Step 5: Solve for x
    x = 5,855.40/70.06
  6. Step 6: Final answer
    x = 83.58

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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.