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Finding the Fourth Proportional to 93.09, 127.95 and 74.64

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Solution

The fourth proportional to 93.09, 127.95 and 74.64 is: 102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.09 : 127.95 = 74.64 : x
  2. Step 2: Convert to fraction form
    93.09/127.95 = 74.64/x
  3. Step 3: Cross multiply
    93.09x = 127.95 × 74.64
  4. Step 4: Simplify right side
    93.09x = 9,550.19
  5. Step 5: Solve for x
    x = 9,550.19/93.09
  6. Step 6: Final answer
    x = 102.59

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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.