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Finding the Fourth Proportional to 93.14, 128.55 and 54.35

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Solution

The fourth proportional to 93.14, 128.55 and 54.35 is: 75.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.14 : 128.55 = 54.35 : x
  2. Step 2: Convert to fraction form
    93.14/128.55 = 54.35/x
  3. Step 3: Cross multiply
    93.14x = 128.55 × 54.35
  4. Step 4: Simplify right side
    93.14x = 6,986.69
  5. Step 5: Solve for x
    x = 6,986.69/93.14
  6. Step 6: Final answer
    x = 75.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.