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Finding the Fourth Proportional to 102.51, 141.35 and 83.07

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Solution

The fourth proportional to 102.51, 141.35 and 83.07 is: 114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.51 : 141.35 = 83.07 : x
  2. Step 2: Convert to fraction form
    102.51/141.35 = 83.07/x
  3. Step 3: Cross multiply
    102.51x = 141.35 × 83.07
  4. Step 4: Simplify right side
    102.51x = 11,741.53
  5. Step 5: Solve for x
    x = 11,741.53/102.51
  6. Step 6: Final answer
    x = 114.54

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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.