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Finding the Fourth Proportional to 365.10, 547.57 and 105.07

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Solution

The fourth proportional to 365.10, 547.57 and 105.07 is: 157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.10 : 547.57 = 105.07 : x
  2. Step 2: Convert to fraction form
    365.10/547.57 = 105.07/x
  3. Step 3: Cross multiply
    365.10x = 547.57 × 105.07
  4. Step 4: Simplify right side
    365.10x = 57,533.18
  5. Step 5: Solve for x
    x = 57,533.18/365.10
  6. Step 6: Final answer
    x = 157.58

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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.