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Finding the Fourth Proportional to 99.87, 148.56 and 99.57

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Solution

The fourth proportional to 99.87, 148.56 and 99.57 is: 148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.87 : 148.56 = 99.57 : x
  2. Step 2: Convert to fraction form
    99.87/148.56 = 99.57/x
  3. Step 3: Cross multiply
    99.87x = 148.56 × 99.57
  4. Step 4: Simplify right side
    99.87x = 14,792.12
  5. Step 5: Solve for x
    x = 14,792.12/99.87
  6. Step 6: Final answer
    x = 148.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.