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Finding the Fourth Proportional to 141.58, 212.23 and 68.50

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Solution

The fourth proportional to 141.58, 212.23 and 68.50 is: 102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.58 : 212.23 = 68.50 : x
  2. Step 2: Convert to fraction form
    141.58/212.23 = 68.50/x
  3. Step 3: Cross multiply
    141.58x = 212.23 × 68.50
  4. Step 4: Simplify right side
    141.58x = 14,538.11
  5. Step 5: Solve for x
    x = 14,538.11/141.58
  6. Step 6: Final answer
    x = 102.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.