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Finding the Fourth Proportional to 152.72, 210.78 and 120.10

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Solution

The fourth proportional to 152.72, 210.78 and 120.10 is: 165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.72 : 210.78 = 120.10 : x
  2. Step 2: Convert to fraction form
    152.72/210.78 = 120.10/x
  3. Step 3: Cross multiply
    152.72x = 210.78 × 120.10
  4. Step 4: Simplify right side
    152.72x = 25,314.68
  5. Step 5: Solve for x
    x = 25,314.68/152.72
  6. Step 6: Final answer
    x = 165.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.