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Finding the Fourth Proportional to 93.10, 128.56 and 82.74

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Solution

The fourth proportional to 93.10, 128.56 and 82.74 is: 114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.10 : 128.56 = 82.74 : x
  2. Step 2: Convert to fraction form
    93.10/128.56 = 82.74/x
  3. Step 3: Cross multiply
    93.10x = 128.56 × 82.74
  4. Step 4: Simplify right side
    93.10x = 10,637.05
  5. Step 5: Solve for x
    x = 10,637.05/93.10
  6. Step 6: Final answer
    x = 114.25

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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.