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Finding the Fourth Proportional to 93.12, 140.32 and 83.30

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Solution

The fourth proportional to 93.12, 140.32 and 83.30 is: 125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.12 : 140.32 = 83.30 : x
  2. Step 2: Convert to fraction form
    93.12/140.32 = 83.30/x
  3. Step 3: Cross multiply
    93.12x = 140.32 × 83.30
  4. Step 4: Simplify right side
    93.12x = 11,688.66
  5. Step 5: Solve for x
    x = 11,688.66/93.12
  6. Step 6: Final answer
    x = 125.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.