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Finding the Fourth Proportional to 110.12, 152.16 and 78.98

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Solution

The fourth proportional to 110.12, 152.16 and 78.98 is: 109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.12 : 152.16 = 78.98 : x
  2. Step 2: Convert to fraction form
    110.12/152.16 = 78.98/x
  3. Step 3: Cross multiply
    110.12x = 152.16 × 78.98
  4. Step 4: Simplify right side
    110.12x = 12,017.60
  5. Step 5: Solve for x
    x = 12,017.60/110.12
  6. Step 6: Final answer
    x = 109.13

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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.