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Finding the Fourth Proportional to 99.22, 148.95 and 65.13

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Solution

The fourth proportional to 99.22, 148.95 and 65.13 is: 97.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.22 : 148.95 = 65.13 : x
  2. Step 2: Convert to fraction form
    99.22/148.95 = 65.13/x
  3. Step 3: Cross multiply
    99.22x = 148.95 × 65.13
  4. Step 4: Simplify right side
    99.22x = 9,701.11
  5. Step 5: Solve for x
    x = 9,701.11/99.22
  6. Step 6: Final answer
    x = 97.77

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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.