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Finding the Fourth Proportional to 145.74, 200.98 and 118.07

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Solution

The fourth proportional to 145.74, 200.98 and 118.07 is: 162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.74 : 200.98 = 118.07 : x
  2. Step 2: Convert to fraction form
    145.74/200.98 = 118.07/x
  3. Step 3: Cross multiply
    145.74x = 200.98 × 118.07
  4. Step 4: Simplify right side
    145.74x = 23,729.71
  5. Step 5: Solve for x
    x = 23,729.71/145.74
  6. Step 6: Final answer
    x = 162.82

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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.