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Finding the Fourth Proportional to 150.10, 224.93 and 78.01

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Solution

The fourth proportional to 150.10, 224.93 and 78.01 is: 116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.10 : 224.93 = 78.01 : x
  2. Step 2: Convert to fraction form
    150.10/224.93 = 78.01/x
  3. Step 3: Cross multiply
    150.10x = 224.93 × 78.01
  4. Step 4: Simplify right side
    150.10x = 17,546.42
  5. Step 5: Solve for x
    x = 17,546.42/150.10
  6. Step 6: Final answer
    x = 116.90

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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.