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Finding the Fourth Proportional to 104.78, 157.10 and 64.19

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Solution

The fourth proportional to 104.78, 157.10 and 64.19 is: 96.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.78 : 157.10 = 64.19 : x
  2. Step 2: Convert to fraction form
    104.78/157.10 = 64.19/x
  3. Step 3: Cross multiply
    104.78x = 157.10 × 64.19
  4. Step 4: Simplify right side
    104.78x = 10,084.32
  5. Step 5: Solve for x
    x = 10,084.32/104.78
  6. Step 6: Final answer
    x = 96.24

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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.