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Finding the Fourth Proportional to 106.64, 160 and 74.24

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Solution

The fourth proportional to 106.64, 160 and 74.24 is: 111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.64 : 160 = 74.24 : x
  2. Step 2: Convert to fraction form
    106.64/160 = 74.24/x
  3. Step 3: Cross multiply
    106.64x = 160 × 74.24
  4. Step 4: Simplify right side
    106.64x = 11,878.40
  5. Step 5: Solve for x
    x = 11,878.40/106.64
  6. Step 6: Final answer
    x = 111.39

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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.