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Finding the Fourth Proportional to 145.14, 199.99 and 95.93

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Solution

The fourth proportional to 145.14, 199.99 and 95.93 is: 132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.14 : 199.99 = 95.93 : x
  2. Step 2: Convert to fraction form
    145.14/199.99 = 95.93/x
  3. Step 3: Cross multiply
    145.14x = 199.99 × 95.93
  4. Step 4: Simplify right side
    145.14x = 19,185.04
  5. Step 5: Solve for x
    x = 19,185.04/145.14
  6. Step 6: Final answer
    x = 132.18

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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.