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Finding the Fourth Proportional to 111.60, 166.47 and 99.60

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Solution

The fourth proportional to 111.60, 166.47 and 99.60 is: 148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.60 : 166.47 = 99.60 : x
  2. Step 2: Convert to fraction form
    111.60/166.47 = 99.60/x
  3. Step 3: Cross multiply
    111.60x = 166.47 × 99.60
  4. Step 4: Simplify right side
    111.60x = 16,580.41
  5. Step 5: Solve for x
    x = 16,580.41/111.60
  6. Step 6: Final answer
    x = 148.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.