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Finding the Fourth Proportional to 110.48, 151.36 and 106.16

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Solution

The fourth proportional to 110.48, 151.36 and 106.16 is: 145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.48 : 151.36 = 106.16 : x
  2. Step 2: Convert to fraction form
    110.48/151.36 = 106.16/x
  3. Step 3: Cross multiply
    110.48x = 151.36 × 106.16
  4. Step 4: Simplify right side
    110.48x = 16,068.38
  5. Step 5: Solve for x
    x = 16,068.38/110.48
  6. Step 6: Final answer
    x = 145.44

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Why These Related Problems?

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