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Finding the Fourth Proportional to 111.64, 166.52 and 102.32

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Solution

The fourth proportional to 111.64, 166.52 and 102.32 is: 152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.64 : 166.52 = 102.32 : x
  2. Step 2: Convert to fraction form
    111.64/166.52 = 102.32/x
  3. Step 3: Cross multiply
    111.64x = 166.52 × 102.32
  4. Step 4: Simplify right side
    111.64x = 17,038.33
  5. Step 5: Solve for x
    x = 17,038.33/111.64
  6. Step 6: Final answer
    x = 152.62

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