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Finding the Fourth Proportional to 145.16, 200.54 and 96.16

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Solution

The fourth proportional to 145.16, 200.54 and 96.16 is: 132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.16 : 200.54 = 96.16 : x
  2. Step 2: Convert to fraction form
    145.16/200.54 = 96.16/x
  3. Step 3: Cross multiply
    145.16x = 200.54 × 96.16
  4. Step 4: Simplify right side
    145.16x = 19,283.93
  5. Step 5: Solve for x
    x = 19,283.93/145.16
  6. Step 6: Final answer
    x = 132.85

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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.