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Finding the Fourth Proportional to 145.36, 200.60 and 83.16

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Solution

The fourth proportional to 145.36, 200.60 and 83.16 is: 114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.36 : 200.60 = 83.16 : x
  2. Step 2: Convert to fraction form
    145.36/200.60 = 83.16/x
  3. Step 3: Cross multiply
    145.36x = 200.60 × 83.16
  4. Step 4: Simplify right side
    145.36x = 16,681.90
  5. Step 5: Solve for x
    x = 16,681.90/145.36
  6. Step 6: Final answer
    x = 114.76

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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.