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Finding the Fourth Proportional to 101.70, 152.64 and 76.05

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Solution

The fourth proportional to 101.70, 152.64 and 76.05 is: 114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.70 : 152.64 = 76.05 : x
  2. Step 2: Convert to fraction form
    101.70/152.64 = 76.05/x
  3. Step 3: Cross multiply
    101.70x = 152.64 × 76.05
  4. Step 4: Simplify right side
    101.70x = 11,608.27
  5. Step 5: Solve for x
    x = 11,608.27/101.70
  6. Step 6: Final answer
    x = 114.14

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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.