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Finding the Fourth Proportional to 102.30, 141.93 and 94.20

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Solution

The fourth proportional to 102.30, 141.93 and 94.20 is: 130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.30 : 141.93 = 94.20 : x
  2. Step 2: Convert to fraction form
    102.30/141.93 = 94.20/x
  3. Step 3: Cross multiply
    102.30x = 141.93 × 94.20
  4. Step 4: Simplify right side
    102.30x = 13,369.81
  5. Step 5: Solve for x
    x = 13,369.81/102.30
  6. Step 6: Final answer
    x = 130.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.