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Finding the Fourth Proportional to 99.18, 148.53 and 83.10

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Solution

The fourth proportional to 99.18, 148.53 and 83.10 is: 124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.18 : 148.53 = 83.10 : x
  2. Step 2: Convert to fraction form
    99.18/148.53 = 83.10/x
  3. Step 3: Cross multiply
    99.18x = 148.53 × 83.10
  4. Step 4: Simplify right side
    99.18x = 12,342.84
  5. Step 5: Solve for x
    x = 12,342.84/99.18
  6. Step 6: Final answer
    x = 124.45

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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.