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Finding the Fourth Proportional to 98.50, 136 and 64.06

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Solution

The fourth proportional to 98.50, 136 and 64.06 is: 88.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.50 : 136 = 64.06 : x
  2. Step 2: Convert to fraction form
    98.50/136 = 64.06/x
  3. Step 3: Cross multiply
    98.50x = 136 × 64.06
  4. Step 4: Simplify right side
    98.50x = 8,712.16
  5. Step 5: Solve for x
    x = 8,712.16/98.50
  6. Step 6: Final answer
    x = 88.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.