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Finding the Fourth Proportional to 145.67, 201.02 and 79.28

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Solution

The fourth proportional to 145.67, 201.02 and 79.28 is: 109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.67 : 201.02 = 79.28 : x
  2. Step 2: Convert to fraction form
    145.67/201.02 = 79.28/x
  3. Step 3: Cross multiply
    145.67x = 201.02 × 79.28
  4. Step 4: Simplify right side
    145.67x = 15,935.61
  5. Step 5: Solve for x
    x = 15,935.61/145.67
  6. Step 6: Final answer
    x = 109.40

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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.