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Finding the Fourth Proportional to 215.33, 322.89 and 71

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Solution

The fourth proportional to 215.33, 322.89 and 71 is: 106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.33 : 322.89 = 71 : x
  2. Step 2: Convert to fraction form
    215.33/322.89 = 71/x
  3. Step 3: Cross multiply
    215.33x = 322.89 × 71
  4. Step 4: Simplify right side
    215.33x = 22,925.19
  5. Step 5: Solve for x
    x = 22,925.19/215.33
  6. Step 6: Final answer
    x = 106.47

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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.