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Finding the Fourth Proportional to 146.65, 202.16 and 91.35

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Solution

The fourth proportional to 146.65, 202.16 and 91.35 is: 125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.65 : 202.16 = 91.35 : x
  2. Step 2: Convert to fraction form
    146.65/202.16 = 91.35/x
  3. Step 3: Cross multiply
    146.65x = 202.16 × 91.35
  4. Step 4: Simplify right side
    146.65x = 18,467.32
  5. Step 5: Solve for x
    x = 18,467.32/146.65
  6. Step 6: Final answer
    x = 125.93

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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.