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Finding the Fourth Proportional to 105.66, 157.73 and 98.16

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Solution

The fourth proportional to 105.66, 157.73 and 98.16 is: 146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.66 : 157.73 = 98.16 : x
  2. Step 2: Convert to fraction form
    105.66/157.73 = 98.16/x
  3. Step 3: Cross multiply
    105.66x = 157.73 × 98.16
  4. Step 4: Simplify right side
    105.66x = 15,482.29
  5. Step 5: Solve for x
    x = 15,482.29/105.66
  6. Step 6: Final answer
    x = 146.53

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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.