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Finding the Fourth Proportional to 100.64, 150.96 and 76.16

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Solution

The fourth proportional to 100.64, 150.96 and 76.16 is: 114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.64 : 150.96 = 76.16 : x
  2. Step 2: Convert to fraction form
    100.64/150.96 = 76.16/x
  3. Step 3: Cross multiply
    100.64x = 150.96 × 76.16
  4. Step 4: Simplify right side
    100.64x = 11,497.11
  5. Step 5: Solve for x
    x = 11,497.11/100.64
  6. Step 6: Final answer
    x = 114.24

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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.