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Finding the Fourth Proportional to 98.53, 148.07 and 52.90

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Solution

The fourth proportional to 98.53, 148.07 and 52.90 is: 79.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.53 : 148.07 = 52.90 : x
  2. Step 2: Convert to fraction form
    98.53/148.07 = 52.90/x
  3. Step 3: Cross multiply
    98.53x = 148.07 × 52.90
  4. Step 4: Simplify right side
    98.53x = 7,832.67
  5. Step 5: Solve for x
    x = 7,832.67/98.53
  6. Step 6: Final answer
    x = 79.50

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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.