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Finding the Fourth Proportional to 114.64, 158.02 and 90.05

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Solution

The fourth proportional to 114.64, 158.02 and 90.05 is: 124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.64 : 158.02 = 90.05 : x
  2. Step 2: Convert to fraction form
    114.64/158.02 = 90.05/x
  3. Step 3: Cross multiply
    114.64x = 158.02 × 90.05
  4. Step 4: Simplify right side
    114.64x = 14,228.69
  5. Step 5: Solve for x
    x = 14,228.69/114.64
  6. Step 6: Final answer
    x = 124.12

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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.