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Finding the Fourth Proportional to 110.75, 152.82 and 64.10

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Solution

The fourth proportional to 110.75, 152.82 and 64.10 is: 88.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.75 : 152.82 = 64.10 : x
  2. Step 2: Convert to fraction form
    110.75/152.82 = 64.10/x
  3. Step 3: Cross multiply
    110.75x = 152.82 × 64.10
  4. Step 4: Simplify right side
    110.75x = 9,795.76
  5. Step 5: Solve for x
    x = 9,795.76/110.75
  6. Step 6: Final answer
    x = 88.45

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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.