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Finding the Fourth Proportional to 106.60, 160 and 41.64

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Solution

The fourth proportional to 106.60, 160 and 41.64 is: 62.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.60 : 160 = 41.64 : x
  2. Step 2: Convert to fraction form
    106.60/160 = 41.64/x
  3. Step 3: Cross multiply
    106.60x = 160 × 41.64
  4. Step 4: Simplify right side
    106.60x = 6,662.40
  5. Step 5: Solve for x
    x = 6,662.40/106.60
  6. Step 6: Final answer
    x = 62.50

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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.