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Finding the Fourth Proportional to 70.61, 96.61 and 70.31

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Solution

The fourth proportional to 70.61, 96.61 and 70.31 is: 96.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.61 : 96.61 = 70.31 : x
  2. Step 2: Convert to fraction form
    70.61/96.61 = 70.31/x
  3. Step 3: Cross multiply
    70.61x = 96.61 × 70.31
  4. Step 4: Simplify right side
    70.61x = 6,792.71
  5. Step 5: Solve for x
    x = 6,792.71/70.61
  6. Step 6: Final answer
    x = 96.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.