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Finding the Fourth Proportional to 102.33, 141.45 and 93.21

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Solution

The fourth proportional to 102.33, 141.45 and 93.21 is: 128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.33 : 141.45 = 93.21 : x
  2. Step 2: Convert to fraction form
    102.33/141.45 = 93.21/x
  3. Step 3: Cross multiply
    102.33x = 141.45 × 93.21
  4. Step 4: Simplify right side
    102.33x = 13,184.55
  5. Step 5: Solve for x
    x = 13,184.55/102.33
  6. Step 6: Final answer
    x = 128.84

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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.