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Finding the Fourth Proportional to 88.91, 122.68 and 52.08

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Solution

The fourth proportional to 88.91, 122.68 and 52.08 is: 71.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.91 : 122.68 = 52.08 : x
  2. Step 2: Convert to fraction form
    88.91/122.68 = 52.08/x
  3. Step 3: Cross multiply
    88.91x = 122.68 × 52.08
  4. Step 4: Simplify right side
    88.91x = 6,389.17
  5. Step 5: Solve for x
    x = 6,389.17/88.91
  6. Step 6: Final answer
    x = 71.86

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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.