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Finding the Fourth Proportional to 102.51, 141.14 and 86.94

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Solution

The fourth proportional to 102.51, 141.14 and 86.94 is: 119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.51 : 141.14 = 86.94 : x
  2. Step 2: Convert to fraction form
    102.51/141.14 = 86.94/x
  3. Step 3: Cross multiply
    102.51x = 141.14 × 86.94
  4. Step 4: Simplify right side
    102.51x = 12,270.01
  5. Step 5: Solve for x
    x = 12,270.01/102.51
  6. Step 6: Final answer
    x = 119.70

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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.