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Finding the Fourth Proportional to 115.06, 158.88 and 84.10

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Solution

The fourth proportional to 115.06, 158.88 and 84.10 is: 116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.06 : 158.88 = 84.10 : x
  2. Step 2: Convert to fraction form
    115.06/158.88 = 84.10/x
  3. Step 3: Cross multiply
    115.06x = 158.88 × 84.10
  4. Step 4: Simplify right side
    115.06x = 13,361.81
  5. Step 5: Solve for x
    x = 13,361.81/115.06
  6. Step 6: Final answer
    x = 116.13

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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.