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Finding the Fourth Proportional to 110.86, 152.99 and 64.23

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Solution

The fourth proportional to 110.86, 152.99 and 64.23 is: 88.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.86 : 152.99 = 64.23 : x
  2. Step 2: Convert to fraction form
    110.86/152.99 = 64.23/x
  3. Step 3: Cross multiply
    110.86x = 152.99 × 64.23
  4. Step 4: Simplify right side
    110.86x = 9,826.55
  5. Step 5: Solve for x
    x = 9,826.55/110.86
  6. Step 6: Final answer
    x = 88.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.