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Finding the Fourth Proportional to 1.14, 1.57 and 0.84

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Solution

The fourth proportional to 1.14, 1.57 and 0.84 is: 1.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.14 : 1.57 = 0.84 : x
  2. Step 2: Convert to fraction form
    1.14/1.57 = 0.84/x
  3. Step 3: Cross multiply
    1.14x = 1.57 × 0.84
  4. Step 4: Simplify right side
    1.14x = 1.31
  5. Step 5: Solve for x
    x = 1.31/1.14
  6. Step 6: Final answer
    x = 1.15

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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.