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Finding the Fourth Proportional to 102.16, 141.83 and 99.19

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Solution

The fourth proportional to 102.16, 141.83 and 99.19 is: 137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.16 : 141.83 = 99.19 : x
  2. Step 2: Convert to fraction form
    102.16/141.83 = 99.19/x
  3. Step 3: Cross multiply
    102.16x = 141.83 × 99.19
  4. Step 4: Simplify right side
    102.16x = 14,068.12
  5. Step 5: Solve for x
    x = 14,068.12/102.16
  6. Step 6: Final answer
    x = 137.71

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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.