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Finding the Fourth Proportional to 101.94, 152.94 and 41.07

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Solution

The fourth proportional to 101.94, 152.94 and 41.07 is: 61.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.94 : 152.94 = 41.07 : x
  2. Step 2: Convert to fraction form
    101.94/152.94 = 41.07/x
  3. Step 3: Cross multiply
    101.94x = 152.94 × 41.07
  4. Step 4: Simplify right side
    101.94x = 6,281.25
  5. Step 5: Solve for x
    x = 6,281.25/101.94
  6. Step 6: Final answer
    x = 61.62

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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.