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Finding the Fourth Proportional to 93.40, 128.84 and 54.58

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Solution

The fourth proportional to 93.40, 128.84 and 54.58 is: 75.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.40 : 128.84 = 54.58 : x
  2. Step 2: Convert to fraction form
    93.40/128.84 = 54.58/x
  3. Step 3: Cross multiply
    93.40x = 128.84 × 54.58
  4. Step 4: Simplify right side
    93.40x = 7,032.09
  5. Step 5: Solve for x
    x = 7,032.09/93.40
  6. Step 6: Final answer
    x = 75.29

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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.