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Finding the Fourth Proportional to 152.43, 228.66 and 71.30

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Solution

The fourth proportional to 152.43, 228.66 and 71.30 is: 106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.43 : 228.66 = 71.30 : x
  2. Step 2: Convert to fraction form
    152.43/228.66 = 71.30/x
  3. Step 3: Cross multiply
    152.43x = 228.66 × 71.30
  4. Step 4: Simplify right side
    152.43x = 16,302.31
  5. Step 5: Solve for x
    x = 16,302.31/152.43
  6. Step 6: Final answer
    x = 106.95

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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.