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Finding the Fourth Proportional to 102.04, 141.51 and 99.04

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Solution

The fourth proportional to 102.04, 141.51 and 99.04 is: 137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.04 : 141.51 = 99.04 : x
  2. Step 2: Convert to fraction form
    102.04/141.51 = 99.04/x
  3. Step 3: Cross multiply
    102.04x = 141.51 × 99.04
  4. Step 4: Simplify right side
    102.04x = 14,015.15
  5. Step 5: Solve for x
    x = 14,015.15/102.04
  6. Step 6: Final answer
    x = 137.35

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