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Finding the Fourth Proportional to 114.90, 158.25 and 88.98

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Solution

The fourth proportional to 114.90, 158.25 and 88.98 is: 122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.90 : 158.25 = 88.98 : x
  2. Step 2: Convert to fraction form
    114.90/158.25 = 88.98/x
  3. Step 3: Cross multiply
    114.90x = 158.25 × 88.98
  4. Step 4: Simplify right side
    114.90x = 14,081.09
  5. Step 5: Solve for x
    x = 14,081.09/114.90
  6. Step 6: Final answer
    x = 122.55

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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.