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Finding the Fourth Proportional to 76.30, 114.58 and 62.70

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Solution

The fourth proportional to 76.30, 114.58 and 62.70 is: 94.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.30 : 114.58 = 62.70 : x
  2. Step 2: Convert to fraction form
    76.30/114.58 = 62.70/x
  3. Step 3: Cross multiply
    76.30x = 114.58 × 62.70
  4. Step 4: Simplify right side
    76.30x = 7,184.17
  5. Step 5: Solve for x
    x = 7,184.17/76.30
  6. Step 6: Final answer
    x = 94.16

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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.