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Finding the Fourth Proportional to 152.01, 227.98 and 70.77

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Solution

The fourth proportional to 152.01, 227.98 and 70.77 is: 106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.01 : 227.98 = 70.77 : x
  2. Step 2: Convert to fraction form
    152.01/227.98 = 70.77/x
  3. Step 3: Cross multiply
    152.01x = 227.98 × 70.77
  4. Step 4: Simplify right side
    152.01x = 16,134.14
  5. Step 5: Solve for x
    x = 16,134.14/152.01
  6. Step 6: Final answer
    x = 106.14

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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.