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Finding the Fourth Proportional to 101.78, 152.46 and 70.85

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Solution

The fourth proportional to 101.78, 152.46 and 70.85 is: 106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.78 : 152.46 = 70.85 : x
  2. Step 2: Convert to fraction form
    101.78/152.46 = 70.85/x
  3. Step 3: Cross multiply
    101.78x = 152.46 × 70.85
  4. Step 4: Simplify right side
    101.78x = 10,802.17
  5. Step 5: Solve for x
    x = 10,802.17/101.78
  6. Step 6: Final answer
    x = 106.13

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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.