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Finding the Fourth Proportional to 114.58, 158.12 and 65.45

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Solution

The fourth proportional to 114.58, 158.12 and 65.45 is: 90.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.58 : 158.12 = 65.45 : x
  2. Step 2: Convert to fraction form
    114.58/158.12 = 65.45/x
  3. Step 3: Cross multiply
    114.58x = 158.12 × 65.45
  4. Step 4: Simplify right side
    114.58x = 10,348.95
  5. Step 5: Solve for x
    x = 10,348.95/114.58
  6. Step 6: Final answer
    x = 90.32

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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.