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Finding the Fourth Proportional to 145.97, 201.50 and 99.50

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Solution

The fourth proportional to 145.97, 201.50 and 99.50 is: 137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.97 : 201.50 = 99.50 : x
  2. Step 2: Convert to fraction form
    145.97/201.50 = 99.50/x
  3. Step 3: Cross multiply
    145.97x = 201.50 × 99.50
  4. Step 4: Simplify right side
    145.97x = 20,047.75
  5. Step 5: Solve for x
    x = 20,047.75/145.97
  6. Step 6: Final answer
    x = 137.35

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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.