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Finding the Fourth Proportional to 145.98, 201 and 116.41

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Solution

The fourth proportional to 145.98, 201 and 116.41 is: 160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.98 : 201 = 116.41 : x
  2. Step 2: Convert to fraction form
    145.98/201 = 116.41/x
  3. Step 3: Cross multiply
    145.98x = 201 × 116.41
  4. Step 4: Simplify right side
    145.98x = 23,398.41
  5. Step 5: Solve for x
    x = 23,398.41/145.98
  6. Step 6: Final answer
    x = 160.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.