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Finding the Fourth Proportional to 110.04, 164.93 and 49.16

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Solution

The fourth proportional to 110.04, 164.93 and 49.16 is: 73.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.04 : 164.93 = 49.16 : x
  2. Step 2: Convert to fraction form
    110.04/164.93 = 49.16/x
  3. Step 3: Cross multiply
    110.04x = 164.93 × 49.16
  4. Step 4: Simplify right side
    110.04x = 8,106.89
  5. Step 5: Solve for x
    x = 8,106.89/110.04
  6. Step 6: Final answer
    x = 73.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.