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Finding the Fourth Proportional to 104.70, 157.07 and 64.16

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Solution

The fourth proportional to 104.70, 157.07 and 64.16 is: 96.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.70 : 157.07 = 64.16 : x
  2. Step 2: Convert to fraction form
    104.70/157.07 = 64.16/x
  3. Step 3: Cross multiply
    104.70x = 157.07 × 64.16
  4. Step 4: Simplify right side
    104.70x = 10,076.51
  5. Step 5: Solve for x
    x = 10,076.51/104.70
  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.