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Finding the Fourth Proportional to 145.74, 201.16 and 87.50

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Solution

The fourth proportional to 145.74, 201.16 and 87.50 is: 120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.74 : 201.16 = 87.50 : x
  2. Step 2: Convert to fraction form
    145.74/201.16 = 87.50/x
  3. Step 3: Cross multiply
    145.74x = 201.16 × 87.50
  4. Step 4: Simplify right side
    145.74x = 17,601.50
  5. Step 5: Solve for x
    x = 17,601.50/145.74
  6. Step 6: Final answer
    x = 120.77

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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.