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Finding the Fourth Proportional to 145.65, 200.88 and 87.42

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Solution

The fourth proportional to 145.65, 200.88 and 87.42 is: 120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.65 : 200.88 = 87.42 : x
  2. Step 2: Convert to fraction form
    145.65/200.88 = 87.42/x
  3. Step 3: Cross multiply
    145.65x = 200.88 × 87.42
  4. Step 4: Simplify right side
    145.65x = 17,560.93
  5. Step 5: Solve for x
    x = 17,560.93/145.65
  6. Step 6: Final answer
    x = 120.57

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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.