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Finding the Fourth Proportional to 115.64, 159.64 and 74.22

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Solution

The fourth proportional to 115.64, 159.64 and 74.22 is: 102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.64 : 159.64 = 74.22 : x
  2. Step 2: Convert to fraction form
    115.64/159.64 = 74.22/x
  3. Step 3: Cross multiply
    115.64x = 159.64 × 74.22
  4. Step 4: Simplify right side
    115.64x = 11,848.48
  5. Step 5: Solve for x
    x = 11,848.48/115.64
  6. Step 6: Final answer
    x = 102.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.