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Finding the Fourth Proportional to 102.36, 141.31 and 98.00

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Solution

The fourth proportional to 102.36, 141.31 and 98.00 is: 135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.36 : 141.31 = 98.00 : x
  2. Step 2: Convert to fraction form
    102.36/141.31 = 98.00/x
  3. Step 3: Cross multiply
    102.36x = 141.31 × 98.00
  4. Step 4: Simplify right side
    102.36x = 13,848.72
  5. Step 5: Solve for x
    x = 13,848.72/102.36
  6. Step 6: Final answer
    x = 135.30

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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.