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Finding the Fourth Proportional to 98.75, 148.35 and 64.57

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Solution

The fourth proportional to 98.75, 148.35 and 64.57 is: 96.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.75 : 148.35 = 64.57 : x
  2. Step 2: Convert to fraction form
    98.75/148.35 = 64.57/x
  3. Step 3: Cross multiply
    98.75x = 148.35 × 64.57
  4. Step 4: Simplify right side
    98.75x = 9,577.89
  5. Step 5: Solve for x
    x = 9,577.89/98.75
  6. Step 6: Final answer
    x = 96.99

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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.