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Finding the Fourth Proportional to 152.65, 228.86 and 71.41

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Solution

The fourth proportional to 152.65, 228.86 and 71.41 is: 107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.65 : 228.86 = 71.41 : x
  2. Step 2: Convert to fraction form
    152.65/228.86 = 71.41/x
  3. Step 3: Cross multiply
    152.65x = 228.86 × 71.41
  4. Step 4: Simplify right side
    152.65x = 16,342.54
  5. Step 5: Solve for x
    x = 16,342.54/152.65
  6. Step 6: Final answer
    x = 107.06

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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.