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Finding the Fourth Proportional to 111.69, 152.94 and 111.06

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Solution

The fourth proportional to 111.69, 152.94 and 111.06 is: 152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.69 : 152.94 = 111.06 : x
  2. Step 2: Convert to fraction form
    111.69/152.94 = 111.06/x
  3. Step 3: Cross multiply
    111.69x = 152.94 × 111.06
  4. Step 4: Simplify right side
    111.69x = 16,985.52
  5. Step 5: Solve for x
    x = 16,985.52/111.69
  6. Step 6: Final answer
    x = 152.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.