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Finding the Fourth Proportional to 76.15, 114.15 and 35.53

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Solution

The fourth proportional to 76.15, 114.15 and 35.53 is: 53.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.15 : 114.15 = 35.53 : x
  2. Step 2: Convert to fraction form
    76.15/114.15 = 35.53/x
  3. Step 3: Cross multiply
    76.15x = 114.15 × 35.53
  4. Step 4: Simplify right side
    76.15x = 4,055.60
  5. Step 5: Solve for x
    x = 4,055.60/76.15
  6. Step 6: Final answer
    x = 53.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.