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Finding the Fourth Proportional to 110.76, 152.85 and 64.15

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Solution

The fourth proportional to 110.76, 152.85 and 64.15 is: 88.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.76 : 152.85 = 64.15 : x
  2. Step 2: Convert to fraction form
    110.76/152.85 = 64.15/x
  3. Step 3: Cross multiply
    110.76x = 152.85 × 64.15
  4. Step 4: Simplify right side
    110.76x = 9,804.72
  5. Step 5: Solve for x
    x = 9,804.72/110.76
  6. Step 6: Final answer
    x = 88.52

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