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Finding the Fourth Proportional to 93.02, 128.13 and 80.74

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Solution

The fourth proportional to 93.02, 128.13 and 80.74 is: 111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.02 : 128.13 = 80.74 : x
  2. Step 2: Convert to fraction form
    93.02/128.13 = 80.74/x
  3. Step 3: Cross multiply
    93.02x = 128.13 × 80.74
  4. Step 4: Simplify right side
    93.02x = 10,345.22
  5. Step 5: Solve for x
    x = 10,345.22/93.02
  6. Step 6: Final answer
    x = 111.21

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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.