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Finding the Fourth Proportional to 152.24, 228.36 and 106.76

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Solution

The fourth proportional to 152.24, 228.36 and 106.76 is: 160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.24 : 228.36 = 106.76 : x
  2. Step 2: Convert to fraction form
    152.24/228.36 = 106.76/x
  3. Step 3: Cross multiply
    152.24x = 228.36 × 106.76
  4. Step 4: Simplify right side
    152.24x = 24,379.71
  5. Step 5: Solve for x
    x = 24,379.71/152.24
  6. Step 6: Final answer
    x = 160.14

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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.