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Finding the Fourth Proportional to 102.53, 141.28 and 77.93

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Solution

The fourth proportional to 102.53, 141.28 and 77.93 is: 107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.53 : 141.28 = 77.93 : x
  2. Step 2: Convert to fraction form
    102.53/141.28 = 77.93/x
  3. Step 3: Cross multiply
    102.53x = 141.28 × 77.93
  4. Step 4: Simplify right side
    102.53x = 11,009.58
  5. Step 5: Solve for x
    x = 11,009.58/102.53
  6. Step 6: Final answer
    x = 107.38

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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.