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Finding the Fourth Proportional to 71.61, 106.68 and 68.16

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Solution

The fourth proportional to 71.61, 106.68 and 68.16 is: 101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.61 : 106.68 = 68.16 : x
  2. Step 2: Convert to fraction form
    71.61/106.68 = 68.16/x
  3. Step 3: Cross multiply
    71.61x = 106.68 × 68.16
  4. Step 4: Simplify right side
    71.61x = 7,271.31
  5. Step 5: Solve for x
    x = 7,271.31/71.61
  6. Step 6: Final answer
    x = 101.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.