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Finding the Fourth Proportional to 93.45, 128.88 and 75.02

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Solution

The fourth proportional to 93.45, 128.88 and 75.02 is: 103.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.45 : 128.88 = 75.02 : x
  2. Step 2: Convert to fraction form
    93.45/128.88 = 75.02/x
  3. Step 3: Cross multiply
    93.45x = 128.88 × 75.02
  4. Step 4: Simplify right side
    93.45x = 9,668.90
  5. Step 5: Solve for x
    x = 9,668.90/93.45
  6. Step 6: Final answer
    x = 103.47

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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.