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Finding the Fourth Proportional to 94.23, 141.57 and 88.77

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Solution

The fourth proportional to 94.23, 141.57 and 88.77 is: 133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.23 : 141.57 = 88.77 : x
  2. Step 2: Convert to fraction form
    94.23/141.57 = 88.77/x
  3. Step 3: Cross multiply
    94.23x = 141.57 × 88.77
  4. Step 4: Simplify right side
    94.23x = 12,567.17
  5. Step 5: Solve for x
    x = 12,567.17/94.23
  6. Step 6: Final answer
    x = 133.37

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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.