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Finding the Fourth Proportional to 145.79, 200.98 and 96.58

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Solution

The fourth proportional to 145.79, 200.98 and 96.58 is: 133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.79 : 200.98 = 96.58 : x
  2. Step 2: Convert to fraction form
    145.79/200.98 = 96.58/x
  3. Step 3: Cross multiply
    145.79x = 200.98 × 96.58
  4. Step 4: Simplify right side
    145.79x = 19,410.65
  5. Step 5: Solve for x
    x = 19,410.65/145.79
  6. Step 6: Final answer
    x = 133.14

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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.