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Finding the Fourth Proportional to 152.71, 228.86 and 71.37

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Solution

The fourth proportional to 152.71, 228.86 and 71.37 is: 106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.71 : 228.86 = 71.37 : x
  2. Step 2: Convert to fraction form
    152.71/228.86 = 71.37/x
  3. Step 3: Cross multiply
    152.71x = 228.86 × 71.37
  4. Step 4: Simplify right side
    152.71x = 16,333.38
  5. Step 5: Solve for x
    x = 16,333.38/152.71
  6. Step 6: Final answer
    x = 106.96

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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.