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Finding the Fourth Proportional to 71.42, 106.98 and 32.84

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Solution

The fourth proportional to 71.42, 106.98 and 32.84 is: 49.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.42 : 106.98 = 32.84 : x
  2. Step 2: Convert to fraction form
    71.42/106.98 = 32.84/x
  3. Step 3: Cross multiply
    71.42x = 106.98 × 32.84
  4. Step 4: Simplify right side
    71.42x = 3,513.51
  5. Step 5: Solve for x
    x = 3,513.51/71.42
  6. Step 6: Final answer
    x = 49.20

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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.