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Finding the Fourth Proportional to 114.88, 158.53 and 65.76

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Solution

The fourth proportional to 114.88, 158.53 and 65.76 is: 90.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.88 : 158.53 = 65.76 : x
  2. Step 2: Convert to fraction form
    114.88/158.53 = 65.76/x
  3. Step 3: Cross multiply
    114.88x = 158.53 × 65.76
  4. Step 4: Simplify right side
    114.88x = 10,424.93
  5. Step 5: Solve for x
    x = 10,424.93/114.88
  6. Step 6: Final answer
    x = 90.75

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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.