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Finding the Fourth Proportional to 93.08, 140.33 and 83.06

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Solution

The fourth proportional to 93.08, 140.33 and 83.06 is: 125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.08 : 140.33 = 83.06 : x
  2. Step 2: Convert to fraction form
    93.08/140.33 = 83.06/x
  3. Step 3: Cross multiply
    93.08x = 140.33 × 83.06
  4. Step 4: Simplify right side
    93.08x = 11,655.81
  5. Step 5: Solve for x
    x = 11,655.81/93.08
  6. Step 6: Final answer
    x = 125.22

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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.