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Finding the Fourth Proportional to 145.65, 200.16 and 117.96

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Solution

The fourth proportional to 145.65, 200.16 and 117.96 is: 162.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.65 : 200.16 = 117.96 : x
  2. Step 2: Convert to fraction form
    145.65/200.16 = 117.96/x
  3. Step 3: Cross multiply
    145.65x = 200.16 × 117.96
  4. Step 4: Simplify right side
    145.65x = 23,610.87
  5. Step 5: Solve for x
    x = 23,610.87/145.65
  6. Step 6: Final answer
    x = 162.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.