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Finding the Fourth Proportional to 283.75, 425.53 and 101.14

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Solution

The fourth proportional to 283.75, 425.53 and 101.14 is: 151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.75 : 425.53 = 101.14 : x
  2. Step 2: Convert to fraction form
    283.75/425.53 = 101.14/x
  3. Step 3: Cross multiply
    283.75x = 425.53 × 101.14
  4. Step 4: Simplify right side
    283.75x = 43,038.10
  5. Step 5: Solve for x
    x = 43,038.10/283.75
  6. Step 6: Final answer
    x = 151.68

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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.