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Finding the Fourth Proportional to 102.58, 141.51 and 73.42

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Solution

The fourth proportional to 102.58, 141.51 and 73.42 is: 101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.58 : 141.51 = 73.42 : x
  2. Step 2: Convert to fraction form
    102.58/141.51 = 73.42/x
  3. Step 3: Cross multiply
    102.58x = 141.51 × 73.42
  4. Step 4: Simplify right side
    102.58x = 10,389.66
  5. Step 5: Solve for x
    x = 10,389.66/102.58
  6. Step 6: Final answer
    x = 101.28

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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.