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Finding the Fourth Proportional to 71.86, 98.88 and 70.06

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Solution

The fourth proportional to 71.86, 98.88 and 70.06 is: 96.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.86 : 98.88 = 70.06 : x
  2. Step 2: Convert to fraction form
    71.86/98.88 = 70.06/x
  3. Step 3: Cross multiply
    71.86x = 98.88 × 70.06
  4. Step 4: Simplify right side
    71.86x = 6,927.53
  5. Step 5: Solve for x
    x = 6,927.53/71.86
  6. Step 6: Final answer
    x = 96.40

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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.