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Finding the Fourth Proportional to 105.04, 156.44 and 98.08

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Solution

The fourth proportional to 105.04, 156.44 and 98.08 is: 146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.04 : 156.44 = 98.08 : x
  2. Step 2: Convert to fraction form
    105.04/156.44 = 98.08/x
  3. Step 3: Cross multiply
    105.04x = 156.44 × 98.08
  4. Step 4: Simplify right side
    105.04x = 15,343.64
  5. Step 5: Solve for x
    x = 15,343.64/105.04
  6. Step 6: Final answer
    x = 146.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.